Equivalent Concept Research Articles

Rapid method of arsenic estimation in geological samples by WD-XRF using a novel concept of As-Pb concentration equivalence.

The presence of arsenic in ground waters of many countries has been a subject of global concern due to its toxicity. Primary sources of arsenic are geogenic, i.e. weathering and erosion of rocks and soils containing arsenic. This paper presents a rapid method for determination of arsenic in solid geological samples by wavelength dispersive X-ray fluorescence spectrometer. To achieve the best LLD (lower limit of detection), the most intense X-ray fluorescence line Kα1,2 is preferably used for determination of elemental concentrations because it pertains to the most probable transition. But the greatest challenge in arsenic estimation is the serious line overlap of AsKα1,2 lines with the equi-energy PbLα1,2 lines. By using the conventional line overlap correction methods, uncertainty and detection limits in arsenic determination are degraded to an unacceptable degree in samples which contains high lead and low arsenic concentrations. The proposed method bypassesthe line overlap issue in employing a novel concept of arsenic-lead concentration equivalence factor for the cumulative peak of AsKα1,2 and PbLα1,2 fluorescence lines. The constancy of this factor for all geological matrices facilitates arsenic determination in samples universally irrespective of matrix elements. For the method validation, 22 international certified reference materials have been analysed and the results proved to be propitious wherein only one value out of 22 determinations showed relative error more than 20% of the certified values. This attests to the high accuracy of the proposed method which can effectively determine arsenic below 5mg/kg in the presence of high lead concentration up to 1000mg/kg.

Waste heat recovery system for marine engines optimized through a preference learning rank function embedded into a Bayesian optimizer

Waste heat recovery is a proven process to improve efficiency on engines and meets current necessities of the maritime industry. Since January 1, 2023, already built vessels must meet the energy efficiency indicators known as EEXI and CII. Aiming to reduce fuel consumption and mitigate pollution emissions, a novel waste heat recovery system composed of steam Rankine cycle, organic Rankine cycle, thermoelectric harvesters and desalination is presented. High, medium and low-grade waste heat from exhaust gas, jacket water, lubricating oil and engine block radiation are targeted for recovery. Performance assessment of each subsystem when implemented on a real case study 6-cylinder medium speed marine engine is analyzed. The equivalent electricity production concept was used for the assessment of the desalination subsystem. The proposed system effectively recovers waste energy, offering economic benefits, reducing pollution and satisfying the daily demand of fresh water. Also, optimal states of the waste heat recovery are provided via Bayesian optimization, which requires an evaluation function for the system to be optimized. However, this function is not available and cannot be straightforwardly established, since the quality of waste heat recovery depends on some indicators with a trade-off among them. Hence, a preference learning procedure that exploits expert knowledge is proposed to induce a function of this kind from those indicators in order to be embedded into the Bayesian optimization procedure afterward. Applied to the case study engine, a fuel consumption reduction of 15.04% is achieved. Fuel savings lead to an improvement in energy efficiency indicators, achieving a reduction of 6.98% on the EEXI and a 13.85% on the CII.

A thermal elastic visco-plastic model for soft clayey soils

It is frequently observed that the stress–strain behaviour of soft clayey soils is affected by temperature changes. Development and verification of a reliable constitutive model with consideration of variable temperature conditions are necessary. Due to the significant rheological and other nonlinear properties of clayey soils, the coupled effects of temperature, time dependency, structuration, nonlinear creep, and anisotropy should be considered in the constitutive model. In this study, a new three-dimensional (3D) thermal elastic visco-plastic model is established and verified for the time-dependent stress–strain behaviour of clayey soils considering temperature changes. The model is developed based on the existing elastic visco-plastic models with the equivalent time concept, the overstress theory, and the critical state model. The thermal elastic line and virgin heating line are introduced and generalized to construct constitutive equations for both thermal elastic and thermal visco-plastic behaviour of clayey soils in general stress conditions. After establishing the 3D basic model, further refinement is introduced to consider the nonlinear creep behaviour and structuration for natural and reconstituted clayey soils. Finally, the model is successfully validated by a series of laboratory test data on different clayey soils under variable temperature paths with reasonably good accuracy.

Integrating museum studies into translation studies: towards a reconceptualization of the source text as sensory experience in museum audio description and the notion of experiential equivalence

ABSTRACT This article focuses on museum audio description (AD) as a modality of intersemiotic translation (IT) primarily addressed to people with visual impairments. Still at an early stage of development in terms of both academic research and professional practices, museum AD lies at the crossroads of a variety of disciplines, such as translation studies (TS) and museum studies (MS). The aim of this contribution is to suggest a reconceptualization of traditional notions in TS (source text and equivalence) in the context of museum AD and encompassing the translational phenomenon per se. Theoretical considerations from MS and specific guidelines for museum AD practices will offer cross-disciplinary insights to redefine such concepts and reflect upon translation as a semiosic process in which meanings are created, rather than transferred. This article suggests the coincidence in AD of source and target texts as sensory experience and puts forth the concept of experiential equivalence.

Rudolph Hermann Lotze's philosophically informed psychology.

This essay deals with four main topics: the notion of philosophical psychology; the idea that physical events and mental events cannot be compared to one another; psychophysical mechanism; and the theory of local signs. These are all key elements in the Medicinische Psychologie of Rudolph Hermann Lotze (1817-1881). By philosophical psychology, Lotze understands not only the collection of experimental data regarding physiological and mental states but also their philosophical processing outlining an interpretation of the real nature of the mind-body connection. Within this framework, Lotze introduces the psychophysical mechanism as based on a key philosophical idea: mind and body are incomparable, but, nevertheless, they are in reciprocal relation (Wechselwirkung). In virtue of said special relation, movements that take place in the mental sphere of reality are transferred or translated in the bodily sphere and vice versa. This rearrangement (Umgestaltung) from one sphere of reality to the other is termed by Lotze "transformation to equivalent." Through the concept of equivalence, Lotze supports the idea that the mind and the body form an organic whole. However, psychophysical mechanisms should not be seen as not a fixed series of physical changes followed by an equally fixed series of mental changes: physical changes are "read," organized, and then transformed by the mind into something purely mental. This, in turn, produces new mechanical force and more physical changes. Lotze's legacy and long-term impact is finally read against the background of his contributions.

Perfect Colorings of the Infinite Square Grid: Coverings and Twin Colors

A perfect coloring (equivalent concepts are equitable partition and partition design) of a graph $G$ is a function $f$ from the set of vertices onto some finite set (of colors) such that every node of color $i$ has exactly $S(i,j)$ neighbors of color $j$, where $S(i,j)$ are constants, forming the matrix $S$ called quotient. If $S$ is an adjacency matrix of some simple graph $T$ on the set of colors, then $f$ is called a covering of the target graph $T$ by the cover graph $G$. We characterize all coverings by the infinite square grid, proving that every such coloring is either orbit (that is, corresponds to the orbit partition under the action of some group of graph automorphisms) or has twin colors (that is, two colors such that unifying them keeps the coloring perfect). The case of twin colors is separately classified.

Problems of Translating Prophets Ahaadeeth into English

This paper aims to address the study of the concept of equivalence in translating the Prophet’s Hadith into English. By comparing the hadiths with their English translations, it seeks to measure the extent to which the two translators dealing with the religious text relied on equivalence as a method of translation on the one hand, and as an intended end of the translation process on the other. What is comparative, because the study compares translational theories, and as for the comparative, it is because the study compares the hadiths included in the Forty Nawawi with their English translations.

Comparative Cognition Research Demonstrates the Similarity between Humans and Other Animals.

The field of comparative cognition represents the interface between the cognitive behavior of humans and other animals. In some cases, research demonstrates that other animals are capable of showing similar cognitive processes. In other cases, when animals show behavior thought to be culturally determined in humans, it suggests that simpler processes may be involved. This review examines research primarily with pigeons (out of convenience because of their visual ability). I start with the concept of sameness and follow with the concept of stimulus equivalence, the building blocks of human language. This is followed by research on directed forgetting, the cognitive ability to maintain or forget information. A hallmark of cognition is transitive inference performance (if A < B, and B < C, the understanding that A < C), but the variety of species that show this ability suggests that there may be simpler accounts of this behavior. Similarly, experiments that demonstrate a form of cognitive dissonance in animals suggest that dissonance may not be necessary to explain this biased behavior. Furthermore, examples of sunk cost in pigeons suggests that the human need to continue working on a failing project may also have a biological basis. Finally, pigeons show a preference for a suboptimal choice that is similar to unskilled human gambling, a finding that may clarify why humans are so prone to engage in this typically losing activity.

An Egg-Shaped Elastic Viscoplastic Model for Clay: Experimental Investigation and Constitutive Modelling

This paper presents the experimental investigation carried out for evaluation of the rheological behaviours of Hangzhou soft clay, and proposes a three-dimensional elastic viscoplastic model to describe the rheological characteristics under triaxial condition. Firstly, the time-dependent behaviours of Hangzhou soft clay, such as creep and strain rate effects, were observed and discussed based on the analysis of rheological tests. Subsequently, a constitutive model was formulated under the framework of Perzyna's overstress theory and incorporates other developments, including: 1) A smooth and continuous egg-shaped yield surface, whose shape can change from an ellipse to a teardrop shape, thus providing greater flexibility for better modelling; 2) An equivalent time concept, which enables the model to describe the time-dependent behaviours under different loading paths. By varying the shape parameter, the newly established model can be degenerated into modified Cam-clay (MCC) model or Yin-Graham elastic viscoplastic model. Finally, the model was solved numerically using the fourth-order convergent iterative method combined with the Runge-Kutta method. Comparison of simulation results and experimental data shows that the newly proposed model has an ability to predict creep characteristics and strain rate effects of soft clay.

Saaty’s consistency trapezoidal fuzzy extension and optimized fuzzy utility vector acquisition

Fuzzy extensions of Saaty’s consistency play an important role in developing fuzzy analytic hierarchy process based decision-making methods. This paper proposes formulas to calculate ratio-based increasing and decreasing spread indices and to obtain ratio-based indeterminacy indices of modal and support intervals for fuzzy judgments of trapezoidal fuzzy reciprocal preference matrices (TFRPMs). A transitivity equation with parametric fuzzy elements is introduced and combined with the existence of parameter values to define consistency of TFRPMs. To cope with the challenge of identifying the existence, computational formulas are developed to directly obtain values of parameters from the fuzzy judgments in a TFRPM, and an equivalent consistency concept is proposed for TFRPMs. Properties of consistent TFRPMs are presented and a logarithmic deviation based formula is provided to compute consistency indices of TFRPMs. A new framework of normalized vectors with trapezoidal fuzzy elements is introduced. A logarithmic goal programming model is established and transformed into a linear program for acquiring normalized trapezoidal fuzzy utility vectors from TFRPMs. An analytical solution is found for optimized trapezoidal fuzzy utility vectors of consistent TFRPMs. The developed models are validated by three numerical illustrations possessing comparative studies.

Loading rate effects on mixed-mode I/II fracture envelope of epoxy resins with nonlinear behavior

The tangential stress contour (TSC) method in combination with the equivalent material concept (EMC) was used to predict the fracture load, fracture initiation angle, and fracture resistance of an epoxy resin with nonlinear and ductile behavior. In this analysis, both the loading rate and mode mixing effects were taken into account to obtain the fracture envelopes of the tested resin. Based on the considered approach, only a tensile test performed on dogbone specimens and a pure Mode I fracture toughness test using semi-circular bend (SCB) samples are required to predict the ultimate load and crack initiation angle of the resin at different mode mixities. According to this technique, the non-linear ductile behavior of the tested epoxy is simulated by a virtual brittle linear response, which greatly simplifies the problem. The predicted fracture envelope was validated by experimental results. A very good agreement between the prediction and the experimental data was obtained.

An l1-regularized total variation minimization model for soil interpolation based on geostatistical priors

Geostatistical interpolation of soil properties is highly demanded to assess the status of soil conditions. Recently, methods based on compressed sensing (CS) have been developed to improve the interpolation results to handle cases of limited observations. Here, we used the total variation, an equivalent concept of spatial autocorrelation, to modify the conventional CS interpolation model (CS-V) for soil science and form a new model, l1-TV. The spatial structure information in the variogram models was taken as geostatistical priors to produce ideal results. Examples of interpolation of soil electrical conductivity and heavy metals content were employed to validate and illustrate this new model. A comparison of the interpolation results of ordinary kriging (OK), CS-V and l1-TV showed that the CS method had an advantage over OK when the spatial correlation of soil properties was strong. A significant improvement in l1-TV was also exhibited; that is, the new model can provide more stable performance and show good adaptability to changes in soil spatial correlation. Furthermore, the generation of soil maps from a large number of environmental variables within the l1-TV framework is a promising application for further research.

Adjustments in Indonesian-English Translation of Public Signs in Bali

Public signs that are written in two languages are language phenomena found in some regions in Bali. This study is to explore the translation of public signs from Indonesian into English found in Bali. Deploying the concept of pragmatic equivalence (House, 2015) and translation shifts (Catford, 1965), this study focuses on the adjustments found in the translation of public signs from Indonesian into English. The data were taken from the public signs found in Badung regency and Denpasar city, Bali province, Indonesia by taking photos. The finding reveals that public signs in Bali are realized in the forms of non-sentence and sentence. The non-sentence used includes noun phrase, verb phrase, adjective phrase, adverbial phrase, and preposition. Public signs in the form of sentence include declarative, interrogative, and imperative sentence. To achieve the equivalence, the source public signs are rendered by re-contextualizing their forms in target language. The re-contextualization includes the change from sentence into non-sentence, non-sentence into sentence, one type of sentence into another type, one form of non-sentence into another form, the change of unit and of phrase/clause structure.

Fracture Behavior of AA7075-AA6061 and AA7075-Cu Friction-Stir Welded Joints Containing Blunt V-Notches under Opening-Mode Loading

The purpose of this study is to predict the load-bearing capacity (LBC) of fracture specimens containing V-notched friction-stir welded (FSWed) joints of AA7075-Cu and AA7075-AA6061 materials and subjected to mode I loading conditions. Due to the resulting elastic-plastic behavior and the corresponding development of significant plastic deformations, the fracture analysis of the FSWed alloys requires elastic-plastic fracture criteria, which are complex and time-consuming. Thus, in this study, the equivalent material concept (EMC) is applied, equating the actual AA7075-AA6061 and AA7075-Cu materials to equivalent virtual brittle materials. Then, two brittle fracture criteria, the maximum tangential stress (MTS) and mean stress (MS), are utilized to estimate the LBC of the V-notched FSWed parts. The comparison between the experimental results and the theoretical predictions reveals that both fracture criteria, in combination with EMC, can accurately predict the LBC in the analyzed components.

Investigating the effect of raster orientation on fracture behavior of 3D-printed ABS specimens under tension-tear loading

Most of the engineering components are servicing under complex loading conditions or have complex geometries that lead to a multiaxial stress state in the component. Thus, the fracture behavior of parts under mixed-mode loading conditions should be investigated. The Fused Deposition Modeling (FDM) is a subcategory of the Additive Manufacturing (AM) techniques that has some important manufacturing parameters. The raster orientation (or raster angle) is one of fabricating parameters that significantly affect the mechanical behavior of fabricated parts. Therefore, this study aims to investigate the fracture behavior of FDM specimens made of Acrylonitrile Butadiene Styrene (ABS) under mixed-mode I/III loading conditions. To this goal, four different raster configurations of ψR = 0/90°, 15/-75°, 30/-60°, and 45/-45° were selected for FDM fabrication of edge cracked rectangular specimens, and five loading angles of β = 0° (mode I), 40°, 65°, 72°, and 90° (mode III) were used for performing mixed-mode I/III fracture experiments on the pre-cracked specimens. Besides, some tensile experiments were performed on dog-bone specimens fabricated with the mentioned raster configurations. In order to theoretically predict the failure loads in the tested cracked specimens, a theoretical model named Equivalent Material Concept (EMC) was utilized for equating the ductile behavior of FDM-ABS material with a brittle one. The mentioned concept was coupled with J-integral (EMC-J) and Maximum Tangential Stress (EMC-MTS) criteria to predict the failure loads under mixed-mode loading conditions. The results showed that both EMC-J and EMC-MTS criteria could predict the experimental failure loads well. Additionally, Scanning Electron Microscopy (SEM) was performed on the fracture surfaces to analyze the failure mechanisms of the tested specimens. SEM analysis confirmed the presence of three failure features namely air gaps, filament pullouts, and hackle regions that were discussed comprehensively.

Inverted Modelling: An Effective Way to Support Motion Planning of Legged Mobile Robots

This paper presents an effective way to support motion planning of legged mobile robots—Inverted Modelling, based on the equivalent metamorphic mechanism concept. The difference from the previous research is that we herein invert the equivalent parallel mechanism. Assuming the leg mechanisms are hybrid links, the body of robot being considered as fixed platform, and ground as moving platform. The motion performance is transformed and measured in the body frame. Terrain and joint limits are used as input parameters to the model, resulting in the representation which is independent of terrains and particular poses in Inverted Modelling. Hence, it can universally be applied to any kind of legged robots as global motion performance framework. Several performance measurements using Inverted Modelling are presented and used in motion performance evaluation. According to the requirements of actual work like motion continuity and stability, motion planning of legged robot can be achieved using different measurements on different terrains. Two cases studies present the simulations of quadruped and hexapod robots walking on rugged roads. The results verify the correctness and effectiveness of the proposed method.

Universal asymptotic correlation functions for point group C_{6v} and an observation for triangular lattice Q-state Potts model.

We investigate a universal curve in asymptotic correlation functions of off-critical systems that possess C_{6v} symmetry following the argument for C_{4v} symmetry in our previous paper [Phys. Rev. E 102, 032141 (2020)2470-004510.1103/PhysRevE.102.032141]. Unlike the C_{4v} case, a minimal asymptotic form exists, which contains only two free parameters: the normalization constant and the modulus of the universal curve. We perform large-scale Monte Carlo simulations of the triangular lattice Q-state Potts model above the transition temperature. For Q=1, 2, 3, and 4, we successfully obtain numerical evidence that the minimal form gives the leading asymptotic behavior. We also discuss the possibility that the corrections to the minimal form are expressed using this form as a building block. From the minimal form with optimized parameters, we derive the equilibrium crystal shape of the honeycomb lattice Potts model, which is given by an algebraic curve of genus 1 and is universal among models with C_{6v}. Although the curve differs from those obtained in the C_{4v} case, the latter curves also have genus 1. We indicate that the birational equivalence concept can play an important role in comparing asymptotic forms for different point group symmetries, for example, C_{6v} and C_{4v}.

Investigating Trace Equivalences in Information Networks

Equivalences are widely used and have achieved much success in concurrent systems. Meanwhile, information networks are ubiquitous for representing many complex systems and have similar characteristics and properties to concurrent systems such that they both can be described by graphs. In order to simplify information networks, we introduce equivalence to information networks, specifically leveraging the trace equivalence to reduce the complexity of these networks. In this paper, we first define the concept of trace and trace equivalence in information networks, drawing on the similar concept of concurrent systems. We then propose a computational method for determining whether two nodes are trace equivalent in an information network. With the help of this method, we derive trace-equivalent networks from original networks. Experiments show that we are able to reduce the number of nodes in the ACM and DBLP datasets by at most 65.21% and 46.68%, respectively. Running the PathSim algorithm on the original and derived networks, the mean error is 0.0728 in ACM and 0.0446 in DBLP. Overall, the results indicate that the derived networks have fewer nodes and edges than the original networks, yet still capture the same or similar information. By using trace equivalence, we are able to simplify information networks and improve their efficiency while preserving most of their informational content.

On the evaluation of strain energy release rate of cement-bone bonded joints under mode II loading

Bone cements based on poly(methylmethacrylate) (PMMA) are primarily used in joint replacement surgeries. In the fixation of joint replacement, the self-curing cement fills constitutes a very important interface. To understand and improve the interaction between cortical bone and bone cement it is essential to characterize the mechanical properties of cement-bone bonded joints in full detail. In this study, the end-notched flexure test was used in the context of pure mode II fracture characterisation of cement-bone bonded joints. A data reduction scheme based on crack equivalent concept was employed to overcome the difficulties inherent to crack length monitoring during damage propagation. A finite element method combined with a cohesive zone model was first used to validate numerically the adopted method. The procedure was subsequently applied to experimental results to determine the fracture toughness of cement-bone bonded joints under pure mode II loading. The consistency of the obtained results leads to the conclusion that the adopted procedure is adequate to carry out fracture characterisation of these joints under pure mode II loading. The innovative aspect of the present work lies in the application of cohesive zone modelling approach to PMMA-based cement-bone bonded joints.

Seismic design of hybrid braced frames with self-centering braces and fluid viscous damping braces

Combining self-centering braces (SCBs) and fluid viscous damping braces (FVDBs) in parallel emerges as a promising seismic-resistant strategy, because it has the potential of simultaneously controlling peak deformation, peak acceleration, peak base shear and nearly eliminating residual deformation. However, the corresponding seismic design method is still under development. To this end, this paper extended the performance-based plastic design (PBPD) method to hybrid braced frames (HBFs) equipped with SCBs and FVDBs. The PBPD method selected target drift and yield mechanism at the very beginning of the design procedure, and then it derived the design base shear using energy equivalent concept. The key step was to obtain the constant-ductility spectra of the equivalent single-degree-of-freedom systems through nonlinear time history analysis (NLTHA). The regression functions of the spectra were then incorporated with the PBPD procedure. A six-story steel frame was selected for demonstrating the design method. A total of 4 HBFs were designed by defining 4 levels of viscous damping ratio (ξv) supplemented by FVDBs. The seismic responses of the designed HBFs were examined by subjecting them to 20 earthquake ground motions. The NLTHA results indicated that the designed HBFs can well satisfy the performance targets. The design method was robust, although the ξv values were varied in a wide range. The design method may also shed light to the other types of hybrid systems with displacement- and velocity- dependent damping braces.