Force-displacement Curves Research Articles

Micromechanical analysis of suction bucket-granular soil interaction under eccentric pulling action of mooring lines: Effect of horizontal pulling angle

Previous suction bucket-soil interaction simulations usually apply fixed loads on suction buckets as the action of mooring lines, ignoring the contact behaviors between mooring lines and suction buckets. This study investigates suction bucket-soil interaction under the above contact behaviors with the horizontal pulling angle effect. Granular soil was generated in the DEM part while the suction buckets were simulated with meshes in the FEM part. The pulling action of mooring lines was applied by a hanger that can slide and rotate at the contact point. The micro-to-macro results revealed that the shape difference in pulling force-displacement curves can be explained by the effect of decomposed pulling actions on soil behaviors. Besides, the horizontal pulling angle effect on discontinuity and occurrences of large soil deformation can be successfully modeled by the coupled DEM-FEM method. Meanwhile, the horizontal pulling angle effect associated with different interface frictions on the movement and deformation of suction buckets were discovered. Furthermore, conclusive failure patterns of suction bucket-soil interaction were identified after analyzing particle-scale soil behaviors. The study indicates that neglecting the horizontal pulling angle of the mooring lines could result in severely misestimating the uplift capacity of a suction bucket and the soil failure pattern.

Effect of the surface geometry of uncemented acetabular cups on primary stability in a model of uncemented total hip replacement in dogs.

To compare the in vitro stability of acetabular cups with peripherally reinforced fixation in a model of uncemented total hip replacement in dogs. 63 polyurethane foam blocks and 3 acetabular implant designs: hemiellipsoidal (Model A) and 2 models with equatorial peripheral fins (Model B with 1 level and Model C with 2 levels of fins). 2 loading patterns-edge loading and push-out tests-were performed until failure and peak forces were recorded. Implantation behavior was visually assessed and the required seating force was assessed using a force-displacement curve. Model B showed significantly lower peak force than Model A in edge loading tests with standardized impaction. In the push-out test, Model A had a greater maximal force than Models B and C, with mean maximal forces of 213.7 N, 139.4 N, and 138.9 N, respectively. In the seating force test, Models B and C required a higher force for 2-mm deep implantation (362.0 N and 361.6 N, respectively) than Model A (194.4 N), and were associated with dorsal tilting of the components. Our results suggest that cups with a peripheral design (B, C) have less primary stability than hemiellipsoidal cups (A). Furthermore, models with peripheral fins (B, C) appeared to have incomplete seating if a higher force was not used during implantation and, therefore, the risk of malpositioning was increased. These data indicate that hemiellipsoidal cups provide the same or better initial stability and require a lower impaction force.

The dependance of breakage energy on the grain size for selected biomaterials

The aim of this research is to expand the knowledge on the description of the grains breakage energy. In effect of the research a model to describe the rice and corn grains breakage energy in dependance of size was developed. This was achieved by linking the level of grinding energy with the properties of the material (particle size) and the loading conditions. The selected grains (rice and corn) were subjected to loads (compression and cutting) on a testing machine. Based on the force-displacement curves, the relationship between the energy necessary to cause a breakage and particle size was described. The results show, that the energy needed for grain shearing changes with the particle size according to the power law, similarly to brittle materials. Through proposed modeling approach, it will be possible to reduce undesirable grain damage as well as improve the operation and design of processing machines in terms of their energy consumption and efficiency.

Performance evaluation of Charpy impact tests to investigate and detect process defects of a Ni-based superalloy elaborated by laser powder bed fusion

Additive manufacturing is a robust process for building complex parts with improved mechanical properties. However, if a problem occurs during manufacturing, the production batch will present microstructural defects that reduce the mechanical properties and reliability of the part. Part post-processing represents a significant production time and production cost. Therefore, it is necessary to find a fast, simple, cheap, and efficient test to check production batch quality. High deformation rate tests are promising. We performed the Charpy impact test with reduced-size samples to investigate a specific height where defects may be suspected or critical. Charpy impact test's ability to detect an intentionally introduced defect in a tested sample is studied, involving exploitation of force-displacement data recorded during the test on reduced-size samples. For a defect localized within the notch plane, the results show that reduced-size samples allow for detecting a localized defect. Resilience values are reduced by 10%, and the force-displacement curves show a divergence in the propagation regime. Defects shifted from the notch plane are also detected, but not more than 500 μm, allowing the detection of production batch break.

Elasticity and material anisotropy of lamellar cortical bone in adult bovine tibia characterized via AFM nanoindentation

The research focuses on the evaluation of the mechanical properties of osteonal cortical bone at the lamellar level. Elastic properties of the mid-diaphysis region of the bovine tibia are investigated via cantilever-based nanoindentation at the submicron length scale utilizing Atomic Force Microscopy, where the force-displacement curves are used for the elastic assessment using the Derjaguin-Muller-Toropov model to calculate indentation modulus. Variations of the modulus and the directional mechanical response of the osteonal bone at different distances from the Haversian canal are investigated. Additionally, the effects of demineralization on the indentation modulus are discussed. It was found that in the axial direction, the first and last untreated thick lamella layers show a significant indentation modulus difference compared to all other layers (4.26 ± 0.4 and 4.6 ± 0.3 GPa vs ∼3.5 GPa). On the other hand, the indentation modulus of transverse thick lamella layers shows a periodic variation between ∼3 ± 0.7 GPa and ∼4 ± 0.3 GPa from near the Haversian canal to near the interstitial bone. A periodic variation in the anisotropy ratio was found. Mineral content was quantified via energy-dispersive X-ray microanalysis at different levels of mineralization and shows a positive correlation with the indentation modulus.

Effects of tensile force on the vascular lumen formation in three-dimensional printed tissue

Objective: To explore the effects of tensile force on vascular lumen formation in three-dimensional printed tissue. Methods: The experimental research method was used. Human umbilical vein endothelial cells (HUVECs) were extracted from discarded umbilical cord tissue of 3 healthy women (aged 22 to 35 years) who gave birth in the Department of Gynaecology and Obstetrics of Suzhou Ruihua Orthopaedic Hospital from September 2020 to May 2021. Human skin fibroblasts (HSFs) were extracted from discarded normal skin tissue of 10 male patients (aged 20 to 45 years) who underwent wound repair in the Department of Hand Surgery of Suzhou Ruihua Orthopaedic Hospital from September 2020 to September 2022. After identification of the two kinds of cells, the 4th to 6th passage of cells were taken for the follow-up experiments. HUVECs and HSFs were used as seed cells, and polycaprolactone, gelatin, hyaluronic acid, and fibrin were used as scaffold materials, and the three-dimensional printed vascularized tissue was created by three-dimensional bioprinting technology. The printed tissue with polycaprolactone scaffold of 6 and 10 mm spacing, and without polycaprolactone scaffold were set as 6 mm spacing polycaprolactone group, 10 mm spacing polycaprolactone group, and non-polycaprolactone group, respectively. After 4 days of culture, the printed tissue in 10 mm spacing polycaprolactone group was selected to detect the cell survival by cell viability detection kit, and the cell survival rate was calculated. After 14 days of culture, the printed tissue in three groups were taken, and the shape change of tissue was observed by naked eyes; immunofluorescence staining was performed to observe the arrangement of filamentous actin, and lumen diameter, total length, and number of branches of vessel in the tissue. The tissue with micro-spring structure in the above-mentioned three groups was designed, printed, and cultured for 9 days, and the tensile force applied in the printed tissue was measured according to the force-displacement curve. The number of samples was all 3 in the above experiments. Data were statistically analyzed with one-way analysis of variance and Tukey test. Results: After 4 days of culture, the cell survival rate in printed tissue in 10 mm spacing polycaprolactone group was (91.3±2.2)%. After 14 days of culture, the shape change of printed tissue in non-polycaprolactone group was not obvious, while the shape changes of printed tissue in 6 mm spacing polycaprolactone group and 10 mm spacing polycaprolactone group were obvious. After 14 days of culture, the arrangement of filamentous actin in the printed tissue in non-polycaprolactone group had no specific direction, while the arrangement of filamentous actin in the printed tissue in 6 mm spacing polycaprolactone group and 10 mm spacing polycaprolactone group had a specific direction. After 14 days of culture, The vascular lumen diameters of the printed tissue in 6 mm spacing polycaprolactone group and 10 mm spacing polycaprolactone group were (6.0±1.3) and (10.8±1.3) μm, respectively, which were significantly larger than 0 μm in non-polycaprolactone group (P<0.05), and the vascular lumen diameter of printed tissue in 10 mm spacing polycaprolactone group was significantly larger than that in 6 mm spacing polycaprolactone group (P<0.05); the total length and number of branches of blood vessel in the printed tissue in 6 mm spacing polycaprolactone group and 10 mm spacing polycaprolactone group were significantly shorter or less than those in non-polycaprolactone group (P<0.05), and the total length and number of branches of blood vessel in the printed tissue in 10 mm spacing polycaprolactone group were significantly shorter or less than those in 6 mm spacing polycaprolactone group. After 9 days of culture, the tensile forces applied in the printed tissue in 6 mm spacing polycaprolactone group and 10 mm spacing polycaprolactone group were (2 340±59) and (4 284±538) μN, respectively, which were significantly higher than 0 μN in non-polycaprolactone group (P<0.05), and the tensile force applied in the printed tissue in 10 mm spacing polycaprolactone group was significantly higher than that in 6 mm spacing polycaprolactone group (P<0.05). Conclusions: The three-dimensional printed scaffold structure can exert different tensile force in the printed tissue, and the vascular lumen diameter of the printed tissue can be regulated by adjusting the tensile force.

Reshape of the Bistable and Multistable Properties of Conical Structures Through Integrated Modification of Local Cross Section

Abstract Multistable structures can maintain multiple steady states without additional loads. However, the presence of geometric and material nonlinearities in multistable structures adds complexity and difficulty to their optimal design. In this paper, a novel method is proposed to achieve multistability in conical structures by local cross-section modification. A conical multistable structure with varying cross section is designed based on this method. The finite element model considering the nonlinear large deformation mechanics and rubber material’s hyperelasticity was established for analyzing the multistable properties and meanwhile verified by experiments. The influence of geometric parameters of the cross section (thickness, width, and position) on the multistabilities (number, distribution, and snapping threshold) was analyzed. The steady-state number can be effectively used to redesign the multistable properties by local reinforcement. It is also observed that the quasi-zero stiffness region of the force–displacement curve can be extended by 61.7% compared to the original conical structure. Moreover, the optimized QZS structure allows for an actively designable stepped dynamic response under forced vibration.

A phase-field framework for brittle fracture in quasi-crystals

Most of quasi-crystals are brittle at room temperature due to their specific cluster structures. Phase-field fracture models have demonstrated a powerful ability to predict brittle crack evolution. This paper develops a phase-field framework for modeling macroscopic brittle fracture in quasi-crystal solids. The kind of quasi-crystals is not preset in the phase-field model; therefore, this model is valid for almost all quasi-crystal solids. The phase-field model for the first time introduces a volume fraction parameter into the fracture toughness to reflect the effect of phason wall. Furthermore, a new numerical implementation approach of phase-field fracture models in Comsol Multiphysics is presented. Several examples of 1D hexagonal and 2D decagonal quasi-crystals are performed. The developed model is validated against the reported results of benchmark problems. Further investigations indicate that the phason field peculiar to quasi-crystals has a certain influence on the crack paths in asymmetric fracture problems and on the force–displacement curves in both symmetric and asymmetric fracture problems. When the fracture toughness is fixed, the increase of the volume fraction parameter results in the decrease of the peak force and the increase of the failure displacement. When the influence of the phason field on the fracture toughness is considered, both the peak force and failure displacement would sharply decrease, which indicates that the degradation of fracture toughness due to the phason field plays a more important role than the phason elastic energy in the fracture of quasi-crystals. Furthermore, the relation between the phonon-phason energy transformation and the elastic constants of QCs has been qualitatively analyzed. The developed phase-field modeling framework provides a guidance for understanding the fracture mechanism of quasi-crystals and assessing the safety of quasi-crystal structures in engineering practice.

Experimental Study on the Seismic Performance of Seismic Bracing in Important Buildings

Important buildings, such as hospitals and nuclear power facilities, must have basically intact pipe systems to function effectively after an earthquake. To study the seismic fragility and failure mechanisms of different typical seismic bracing system types, this paper conducts a comprehensive series of 34 monotonic and cyclic loading tests on four distinct configurations of seismic bracing. The bearing capacity performance and ductility of the components are evaluated thoroughly by using the area (energy) corresponding to the yield displacement, peak force corresponding displacement, and ultimate displacement of the force–displacement curve in the cyclic loading test. Ultimately, the results comprehensively assess the performance of various test specimens, offering suggestions to address the identified issues.

The Hybrid Brake Model and Its Validation

As an extension of a paper published at the 24th International Conference on Mechatronics Technology, ICMT 2021 conference, this paper shows the concept, design method, and model of a hybrid brake with additional validation. An eddy current brake cannot be used to decelerate a vehicle to a standstill. However, the magnetic attraction force between the rotor and stator of an eddy current brake can be used to generate an additional mechanical friction torque. By using a disc spring between the rotor and stator, the eddy current brake is extended to a so-called hybrid brake. In particular, the model and design method of the disc spring are the focus of this work. Using a system model that includes the electromagnetic and mechanical domains, the wear reduction compared to a conventional friction brake and the dynamic behaviour depending on the spring parameters are investigated. Finally, a disc spring is designed in FEM with the desired force–displacement curve. In addition, a working demonstrator of a hybrid brake is constructed, and the electromagnetic and mechanical system models are compared with the experimental results. For the first time, it is shown that the concept of using the magnetic attraction force between the rotor and stator of an eddy current brake for braking to a stop is working. In a speed range of 0–7500 rpm, it is possible to generate a torque of 100 Nm, whereby at speeds higher than 3500 rpm, the torque is generated in a wear-free manner by eddy currents. However, in order to be valid, the model must be extended to represent the deformation of the rotor.

New equations of fibre reinforced polymers-concrete bond strength and bond-slip law based on mesoscale simulations

The bond behaviour between fibre reinforced polymers (FRP) and concrete plays a critical role in FRP-strengthened concrete structures. Most existing equations of bond strength and bond-slip laws ignore the heterogeneous nature of concrete, resulting in considerable disparities with experimental data. In this study, the mesoscale finite element modelling approach developed and validated previously is applied in extensive Monte Carlo simulations (MCS) of FRP-concrete bonded joints with various concrete compressive strength and coarse aggregate fractions ( AF). Based on the MCS results, AF-dependent empirical equations for the bond strength and the interfacial bond-slip law are proposed and validated against 101 FRP-concrete joint tests under single-shear loading. The consideration of AF leads to closer predictions of bond strength and force-displacement curves to the test data than the widely-accepted Chen and Teng’s bond-strength model and Lu et al.’s bond-slip law.

Bio-inspired, metal additive manufacturing interlocked structures: Geometrically design and fracture performance analysis

Suture-inspired interlocked interfaces in nature exhibit promising industrial applications potentials in advanced mechanical structures, devices and equipment. In this paper, the parametric design of interlocked interfaces is performed, and selective laser melting (SLM) additive manufacturing tensile specimens and compact tension (CT) fracture specimens with sutured interfaces are harvested, where AlSi10Mg raw materials are used as constituent materials. Afterwards, compact tension tensile fracture experiments and corresponding finite element simulations were performed and compared, where force-displacement curves for different interface structural geometrical parameters were harvested. The mechanical properties and failure modes of the interlocked interface structures were analyzed through experiments and simulations verification. Crack-tip opening displacement (CTOD) and fracture energy criteria were used to evaluate the fracture toughness of the interlocked specimen interfaces. In addition, parametric analysis was carried out to investigate the influence of different interlocked structural parameters on the interface mechanical performances and failure features. Accordingly, it can be concluded that the interface strength, toughness, and failure mechanisms can be rationally tuned through given geometrical parameters of the re-entrant interface microstructures.

A phenomenological model of magnetorheological damper considering fluid deficiency

The primary goal of this paper is to develop a new phenomenological model which is able to accurately describe the nonlinear behaviors of magnetorheological (MR) dampers with fluid deficiency. A multi-channel bypass MR damper with three working modes is tested on the dynamic testing system and the test results are presented for different excitation amplitudes, excitation frequencies, exciting currents, and MR damper working modes. Based on the experimental curves, the void-like phenomenon caused by fluid deficiency is observed and the essence of the phenomenon is deduced. A new phenomenological model is established accordingly, and the influence of model parameters on force-displacement curves and force-velocity curves are analyzed. The model is validated against experimental data, and the comparisons of this model with commonly used MR damper models, including the Bouc-Wen model and Bingham model, are carried out. It is concluded that the proposed phenomenological model has much higher accuracy than the Bouc-Wen model and Bingham model in describing the dynamic characteristics of fluid-deficient MR dampers.

Surface Softness Tuning with Arch‐Forming Active Hydrogel Elements

Thin active elements can be added to rigid surfaces for the tuning of mechanical contact properties. The deformation of the active structures leads to the forming of arches. Depending on the forming of the arch, the force–displacement curve for contact becomes more or less steep. This can be understood as changing the interaction property between soft and hard. Herein, this concept is presented with hydrogels inside the active elements. Analytical derivations and finite‐element simulation results for actuation and contact, based on the stimulus expansion model, are shown. This modeling approach appropriately captures the stimulus‐dependent swelling properties of the material and can be easily applied in commercial finite‐element tools. Special considerations are taken for the encapsulation of the active materials. A thin encapsulation foil allows 1) the use of swelling agents, such as water, without contaminating the contact objects. Furthermore, 2) appropriate water reservoirs for the swelling process can be included. The simulation results show that a surface softness tuning can be realized. The presented active material and dimensions are exemplary; the concept can be applied to other active materials for tuning surface interactions.

PSO-PARSIMONY: A method for finding parsimonious and accurate machine learning models with particle swarm optimization. Application for predicting force–displacement curves in T-stub steel connections

We present PSO-PARSIMONY, a new methodology to search for parsimonious and highly accurate models by means of particle swarm optimization. PSO-PARSIMONY uses automatic hyperparameter optimization and feature selection to search for accurate models with low complexity. To evaluate the new proposal, a comparative study with multilayer perceptron algorithm was performed with public datasets and by applying it to predict two important parameters of the force–displacement curve in T-stub steel connections: initial stiffness and maximum strength. Models optimized with PSO-PARSIMONY showed an excellent trade-off between goodness-of-fit and parsimony. The new proposal was compared with GA-PARSIMONY, our previously published methodology that uses genetic algorithms in the optimization process. The new method needed more iterations and obtained slightly more complex individuals, but it performed better in the search for accurate models.

Mechanical properties of pre-cracked high nitrogen steel under dynamic composite loading

In this paper, the mechanical properties of pre-cracked high nitrogen steel specimens with different loading angles of 30°, 45° and 60° were studied by using Hopkinson tension bar. The corresponding force-displacement curves under different loading angles were obtained. It was found that with the decrease of the pre-crack loading angle, the proportion of the shear stress on the specimens in the composite loading gradually increased, and the stress concentration appeared during the composite loading process, the fracture strength of the specimens decreased significantly. At the same time, however, the dispersion of the experimental results decreased, and the fracture morphology tended to be consistent with the elongation at break. The obtained mechanical properties of high nitrogen steel under combined loading can provide reference and basis for its technological improvement, safe production and reliable application

Low frequency photothermal excitation of AFM microcantilevers

Photothermal excitation at frequencies below the mechanical resonance of the atomic force microscopy (AFM) microcantilever can be utilized in force modulation microscopy, fast force displacement curve acquisition, and tip-based mass spectroscopy. To understand the microcantilever bending response in these modes, accurate models of the thermoelastic response of the AFM microcantilever are needed. We study the sub-resonance photothermal vibrational response of coated and uncoated AFM microcantilevers as a function of laser modulation frequency and spot location. The sub-resonance microcantilever response shows distinct thermoelastic regimes. Below the microcantilever's thermal roll-off frequency, the vibration amplitude is mostly constant. Past this frequency, the vibration amplitude decreases with increasing frequency. At modulation frequencies below the thermal roll-off frequency, the most efficient photothermal laser spot to excite harmonic motion is near the free end of both coated and uncoated microcantilevers. For the tested coated microcantilevers, the most efficient photothermal laser location migrates from near the free end of the microcantilever to near the fixed end as modulation frequency increases. For the tested uncoated microcantilever, the most efficient photothermal laser location remains unchanged at the tested frequencies. To predict the bending response of the coated microcantilever, a bilayer bending model is implemented. At low frequencies, this model underpredicts the bending response compared to experiments by up to 90%. This may be due to neglecting microcantilever bending contributed by a through-thickness temperature gradient. Our results illustrate different aspects of the frequency-dependent photothermal laser spot optimization that can guide users to maximizing microcantilever response to a given input power.

Three-Point Bending Test and Finite Element Simulation Study of 304 Stainless Steel Based on Elastoplastic Constitutive Model

Rebar bending is commonly found in engineering and has received widespread attention. In this paper, a combination of experimental and finite element methods was used to conduct a study on three-point bending of 304 stainless steel. The real-time bending angle of the round bar during bending was recorded using a digital inclinometer. The force-displacement curves of specimens with different diameters were obtained and compared with the results of finite element simulations. Furthermore, the results from the digital inclinometer were compared with theoretical angle values. The findings suggest that the larger the diameter of the 304 stainless steel round bar, the greater the normal force it experiences. The finite element results are relatively consistent with the experimental results. The angle displayed by the digital inclinometer is consistent with the theoretical angle value of the round bar before unloading. The rebound angle of the reinforcing bar is greatly influenced by its diameter. When the diameter of the round bar exceeds a certain value, the rebound angle can be neglected.

Probing soft fibrous materials by indentation.

Indentation is often used to measure the stiffness of soft materials whose main structural component is a network of filaments, such as the cellular cytoskeleton, connective tissue, gels, and the extracellular matrix. For elastic materials, the typical procedure requires fitting the experimental force-displacement curve with the Hertz model, which predicts that f=kδ1.5 and k is proportional to the reduced modulus of the indented material, E/(1-ν2). Here we show using explicit models of fiber networks that the Hertz model applies to indentation in network materials provided the indenter radius is larger than approximately 12lc, where lc is the mean segment length of the network. Using smaller indenters leads to a relation between force and indentation displacement of the form f=kδq, where q is observed to increase with decreasing indenter radius. Using the Hertz model to interpret results of indentations in network materials using small indenters leads to an inferred modulus smaller than the real modulus of the material. The origin of this departure from the classical Hertz model is investigated. A compacted, stiff network region develops under the indenter, effectively increasing the indenter size and modifying its shape. This modification is marginal when large indenters are used. However, when the indenter radius is small, the effect of the compacted layer is pronounced as it changes the indenter profile from spherical towards conical. This entails an increase of exponent q above the value of 1.5 corresponding to spherical indenters. STATEMENT OF SIGNIFICANCE: The article presents a study of indentation in network biomaterials and demonstrates a size effect which precludes the use of the Hertz model to infer the elastic constants of the material. The size effect occurs once the indenter radius is smaller than approximately 12 times the mean segment length of the network. This result provides guidelines for the selection of indentation conditions that guarantee the applicability of the Hertz model. At the same time, the finding may be used to infer the mean segment length of the network based on indentations with indenters of various sizes. Hence, the method can be used to evaluate this structural parameter which is not easily accessible in experiments.

Development of the Johnson-Cook flow stress and damage parameters for the impact response of polycarbonate: Experimental and numerical approach

The Johnson and Cook (JC) flow stress and damage model parameters of a polycarbonate (PC) plate were determined by the mechanical tests and numerical simulations of the tests. The experimental tests included quasi-static and high strain rate tension and compression, quasi-static notched-specimen tension, quasi-static indentation (QSI), low velocity impact (LVI) and projectile impact (PI). Initially, five different quasi-static flow stress-strain equations were extracted from the experimental and numerical tests. The flow stress equation determined from the experimental average true stress-true strain curve well agreed with the effective stress-strain obtained from the quasi-static numerical tension test. The numerical QSI force-displacement curve based on the experimental average true stress-true strain equation was further shown to be very similar to that of the experiment. The LVI and PI test simulations were then continued with the experimental average true stress-true strain equation using five different flow stress-strain rate relations: JC, Huh and Kang (HK), Allen-Rule and Jones (ARJ), Cowper-Symonds (CS) and the nonlinear rate approach (NLA). The rate sensitivity parameters of these relations were extracted from the quasi-static and high strain rate tests. The LVI test simulations using the stress-strain rate relations exhibited force-displacement curves higher than those of the experiments. The detected almost no strain rate sensitivity in the LVI tests was ascribed to low strain rate dependency of the flow stress at these intermediate strain rates and large strains involved. On the other side, all the stress-strain rate relations investigated nearly predicted the experimental damage types: dishing at 100 and 140 m s−1 and petalling at 160 m s−1, except the CS relation which predicted the fracture of the plate at 140 m s−1. The experimental average projectile exit velocity at 160 m s−1 was further well predicted by the used stress-strain rate relations while the experimental average petal thicknesses were under estimated by the models. The absorbed energy at 160 m s−1 PI test was determined 1.6 times that of the QSI test, which proved an increased energy absorption capability of the tested PC at the investigated impact velocities.