Expansion Theory Research Articles

Sand State Parameter from CPT

A cone penetration test (CPT) based procedure is proposed to determine the in-situ density and state parameter (ψ) of cohesionless soils. To date several correlations have been developed to estimate ψ from CPT results, but most correlations are based on limited calibration testing and/or require soil constitutive parameters from laboratory shear tests. The new framework is based on a limit pressure calculated using cavity expansion theory and a semi closed-form solution that is scaled to existing calibration chamber data using a chamber shape factor. This enables estimation of ψ directly from CPT results, which makes it practical and theoretically sound. This facilitates determining ψ for use in flow failure assessment procedures for dams and embankments.

Root Circumnutation Reduces Mechanical Resistance to Soil Penetration.

Root circumnutation, the helical movement of growing root tips, is a widely observed behaviour of plants. However, our mechanistic understanding of the impacts of root circumnutation on root growth and soil exploration is limited. Here, we deployed a unique combination of penetrometer measurements, X-ray computed tomography and time-lapse imaging, and cavity expansion modelling to unveil the effects of root circumnutation on the mechanical resistance to soil penetration. To simulate differences in circumnutation amplitude and frequency occurring among plant species, genotypes and environmental conditions, we inserted cone penetrometers with varying bending stiffness into soil samples that were subjected to orbital movement at different velocities. We show that greater circumnutation intensity, determined by a greater circumnutation frequency in conjunction with a larger circumnutation amplitude, decreased the mechanical resistance to soil penetration. Cavity expansion theory and X-ray computed tomography provided evidence that increased circumnutation intensity reduces friction at the cone-soil interface, indicating a link between root circumnutation and the ability of plants to overcome mechanical constraints to root growth. We conclude that circumnutation is a key component of root foraging behaviour and propose that genotypic differences in circumnutation intensity can be leveraged to adapt crops to soils with greater mechanical resistance.

Effect Program Educational Based on According to Raigloth Expansion Theory in Teaching Post-Modern Arts for Students of the Institute of Fine Arts

General Background: The evolving landscape of postmodern art necessitates innovative educational approaches to equip students with the skills and knowledge required to navigate this complex field. Specific Background: This research investigates the impact of an educational program grounded in Reigeluth's expansive theory on the teaching of postmodern art at the Institute of Fine Arts in Baghdad. Prior studies have highlighted the need for effective instructional designs that engage students and enhance their cognitive achievements. Knowledge Gap: Despite the proliferation of educational theories, there remains limited empirical evidence on the effectiveness of expansive instructional design in the context of postmodern arts education. Aims: This study aims to assess the effectiveness of an expansive educational program on students' cognitive achievement in postmodern art compared to traditional teaching methods. Results: Utilizing an experimental design with two equivalent groups, the findings reveal statistically significant differences (p < 0.05) in post-test scores favoring the experimental group that engaged with the educational program based on Reigeluth's theory. Novelty: This research contributes to the literature by demonstrating that an expansive instructional approach can significantly enhance students' understanding and appreciation of postmodern art. Implications: The results underscore the necessity for art education curricula to incorporate innovative instructional designs that foster deeper cognitive engagement and mastery of complex artistic concepts. By bridging the gap between theory and practice, this study offers valuable insights for educators seeking to improve instructional effectiveness in the rapidly evolving domain of postmodern art. Highlights: Impact of expansive design on cognitive achievement in postmodern art. Controlled study shows significant differences in student performance outcomes. Innovative teaching methods enhance student engagement and understanding. Keywords: postmodern art, educational program, Reigeluth's theory, cognitive achievement, instructional design

Integrating Learning-Driven Model Behavior and Data Representation for Enhanced Remaining Useful Life Prediction in Rotating Machinery

The increasing complexity of modern mechanical systems, especially rotating machinery, demands effective condition monitoring techniques, particularly deep learning, to predict potential failures in a timely manner and enable preventative maintenance strategies. Health monitoring data analysis, a widely used approach, faces challenges due to data randomness and interpretation difficulties, highlighting the importance of robust data quality analysis for reliable monitoring. This paper presents a two-part approach to address these challenges. The first part focuses on comprehensive data preprocessing using only feature scaling and selection via random forest (RF) algorithm, streamlining the process by minimizing human intervention while managing data complexity. The second part introduces a Recurrent Expansion Network (RexNet) composed of multiple layers built on recursive expansion theories from multi-model deep learning. Unlike traditional Rex architectures, this unified framework allows fine tuning of RexNet hyperparameters, simplifying their application. By combining data quality analysis with RexNet, this methodology explores multi-model behaviors and deeper interactions between dependent (e.g., health and condition indicators) and independent variables (e.g., Remaining Useful Life (RUL)), offering richer insights than conventional methods. Both RF and RexNet undergo hyperparameter optimization using Bayesian methods under variability reduction (i.e., standard deviation) of residuals, allowing the algorithms to reach optimal solutions and enabling fair comparisons with state-of-the-art approaches. Applied to high-speed bearings using a large wind turbine dataset, this approach achieves a coefficient of determination of 0.9504, enhancing RUL prediction. This allows for more precise maintenance scheduling from imperfect predictions, reducing downtime and operational costs while improving system reliability under varying conditions.

Symposium 3: Content and Language Integrated Learning

European policies mandate encouraging plurilingualism in a digitally enhanced world. This mandate is placing increased demands on higher educational practitioners and institutions to prepare today’s learners with new linguistic skills. Content and Language Integrated Learning (CLIL) policy appears to resonate strongly with European aspirations and goals of educating citizens and promoting lingual diversity, pluriculturism, and mobility within the European Union. Whilst offering a potential solution through the interweaving of content and language in a dual-focused educational approach, CLIL is at risk of becoming a ‘buzz word’ without evidence-based research on emerging CLIL practices. This paper suggests a framework for practice-based research in the initial steps of CLIL implementation into HE curriculum and considers expansive learning theory as a theoretical and analytical framework to advance knowledge creation. The deliberate construction of a transciplinary networked learning community is advanced as the outcome and vehicle as the first initiative for CLIL implementation. The partnering and convergence of the knowledge expertise of language experts and subject experts in collaborative reflective practice enhances networked learning within and beyond the institutional boundaries, professional development and learner multiliteracies, including languages, culture, content and digital media. The context for this study is within tertiary architectural education in France where students study architecture in the first language, French, and Language and Communication Skills in the additional language of English as a separate discipline. This lack of convergence appears at odds with the emerging trend and evolution of transdisiplinarity in architectural education and practice where academia and associated professions of architecture, design and engineering increasingly teach, practice and research collaboratively. This desk-based research first examines the significance of CLIL in the European context, its variants, along with the challenges and drawbacks in crossing disciplinary boundaries. The implications for language and disciplinary practitioners and their role are discussed. Transdisciplinary collaborative work, teaching and learning can bridge language and knowledge barriers between the different disciplines in and through the fusion of language learning of, for, and through the languages of architectural practice and content, leading to innovation in curriculum development. Relational agency, in other words calling on the capacity of individuals to jointly work and learn with other practitioners, pedagogies, theories and resources distributed within institutional settings, given that a supportive learning community is possible, can lead to enhanced professional agency, in other words the capacity to act effectively informed by appropriate professional knowledge.. This paper concludes that further research is needed on relational agency within collective activities, such as networked learning communities to advance CLIL implementation.

Reply to the Comment on “A New Boson Expansion Theory Utilizing a Norm Operator”

Abstract The comment is based on misunderstandings and, as a result, does not evaluate the norm operator method. We refute the comment. The structure of the norm operator composed of all the excitation modes determines whether the form of a practical boson expansion is a small parameter expansion. KT-3 is chimerical. It should be taken seriously that the small parameter expansions do not hold with truncating the contributions of all phonon excitation modes that are not adopted as boson excitations. The formulation using the boson expansion of the projection operator on to the boson vacuum does not allow the limitation of the phonon excitation number beforehand.

Coupling algorithm of cavity expansion theory and finite element for penetrating reinforced concrete

Aiming at the dynamic problem of projectile penetrating reinforced concrete, this paper creatively proposes a coupling algorithm combining cavity expansion theory and the finite element method. This approach effectively resolves the problem of low efficiency in finite element simulations while ensuring computational accuracy. In this study, based on the cavity expansion theory, we have redeveloped the display dynamics software. Radial stress in the concrete is applied to the warhead surface in the normal direction, and the interaction between the projectile and the steel bar is simulated using the finite element contact algorithm. A coupling algorithm has been developed that can stably and quickly simulate the penetration of reinforced concrete by a projectile. The study indicates that the implementation of the coupling algorithm primarily includes four steps: model establishment and meshing, stress load program design, load application, and initial condition setting. Through verification and analysis, the coupling algorithm presented in this paper is demonstrated to effectively compute the dynamic response of a projectile during penetration. It exhibits superior computational stability and speed compared to the finite element method, and shows minimal sensitivity to grid size. When applied to numerical models with small meshes, it achieves both high precision and rapid computation. The coupling algorithm program design proposed in this paper can be implemented in any display dynamics software, offering a robust approach for engineers and researchers to predict projectile penetration effects. Furthermore, it provides a rapid assessment method for the anti-penetration performance of reinforced concrete structures.

Comment on “A new boson expansion theory utilizing a norm operator”

Comment on “A new boson expansion theory utilizing a norm operator”

Interception force assisted optical pulling of a dipole nanoparticle in a single plane wave

The optical pulling force is generally believed to originate from the recoil force due to the simultaneous excitation of multipoles in the particle, which overcomes the interception force contributing to the optical pushing force. However, we show that the interception force can induce optical pulling force on a small isotropic spherical particle with gain in a uniform electromagnetic plane wave, in which multipole excitation is negligible within the dipole regime. Based on the multipole expansion theory, a rigorous analytical expression is derived for optical force acting on a spherical particle of arbitrary size and composition illuminated by a single plane wave, regardless of its polarization. The analytical results show that the interception force, which is typically positive in a conventional dielectric particle under illumination of a single plane wave, undergoes a crossover from positive to negative by introducing appropriate gain into the dipolar dielectric nanoparticle, thereby giving rise to the optical pulling. It’s deserved to be noted that the optical pulling force assisted by the interception force does not weaken in magnitude, in fact, it exhibits a stronger magnitude compared to the optical pushing force experienced by a corresponding conventional dielectric particle.

Asymptotic profiles of zero points of solutions to the heat equation

In this paper, we consider the asymptotic profiles of zero points for the spatial variable of the solutions to the heat equation. By giving suitable conditions for the initial data, we prove the existence of zero points by extending the high-order asymptotic expansion theory for the heat equation. This reveals a previously unknown asymptotic profile of zero points diverging at O ( t ) O(t) . In a one-dimensional spatial case, we show the zero point’s second and third-order asymptotic profiles in a general situation. We also analyze a zero level set in high-dimensional spaces and obtain results that extend the results for the one-dimensional spatial case.

Stellarator equilibrium axis-expansion to all orders in distance from the axis for arbitrary plasma beta

A systematic theory of the asymptotic expansion of the magnetohydrostatics (MHS) equilibrium in the distance from the magnetic axis is developed to include arbitrary smooth currents near the magnetic axis. Compared with the vacuum and the force-free system, an additional magnetic differential equation must be solved to obtain the pressure-driven currents. It is shown that there exist variables in which the rest of the MHS system closely mimics the vacuum system. Thus, a unified treatment of MHS fields is possible. The mathematical structure of the near-axis expansions to arbitrary order is examined carefully to show that the double-periodicity of physical quantities in a toroidal domain can be satisfied order by order. The essential role played by the leading-order Birkhoff–Gustavson normal form in solving the magnetic differential equations is highlighted. Several explicit examples of vacuum, force-free and MHS equilibrium in different geometries are presented.

Exact and Approximate Moment Derivation for Probabilistic Loops With Non-Polynomial Assignments

Many stochastic continuous-state dynamical systems can be modeled as probabilistic programs with nonlinear non-polynomial updates in non-nested loops. We present two methods, one approximate and one exact, to automatically compute, without sampling, moment-based invariants for such probabilistic programs as closed-form solutions parameterized by the loop iteration. The exact method applies to probabilistic programs with trigonometric and exponential updates and is embedded in the Polar tool. The approximate method for moment computation applies to any nonlinear random function as it exploits the theory of polynomial chaos expansion to approximate non-polynomial updates as the sum of orthogonal polynomials. This translates the dynamical system to a non-nested loop with polynomial updates, and thus renders it conformable with the Polar tool that computes the moments of any order of the state variables. We evaluate our methods on an extensive number of examples ranging from modeling monetary policy to several physical motion systems in uncertain environments. The experimental results demonstrate the advantages of our approach with respect to the current state-of-the-art.

Case study: Design and properties of acoustic energy harvester

Converting acoustic energy into electric energy can not only suppress environmental noise but also provide energy supply, which is a potential way to solve the bottleneck problem of energy supply in wireless sensor networks (WSNs). An acoustic energy harvester structure and circuit system combining Helmholtz resonance effect with piezoelectric effect are proposed in this article. The band gap characteristics of the designed acoustic energy harvester are analyzed by plane wave expansion (PWE) theory and experiment. The substrate of Helmholtz resonator is made from piezoelectric sheet, and the acoustic energy harvester structure is arranged periodically. When the incident noise frequency keeps coincidence with the resonant frequency, the conversion efficiency goes high up to 21.3%. The influence of series and parallel connection of piezoelectric elements on the acoustic to electric energy is observed. The AC-DC conversion circuit is designed with rectifier bridge, and the energy storage circuit is designed with supercapacitor. The power obtained from the acoustic to electric energy conversion system is 1523 mW. Application tests indicate that the noise suppresses, energy conversion, and energy storage can be realized at the same time by the proposed acoustic energy harvester system.

Late time acceleration in Bianchi type-V dark energy cosmological models with linear deceleration parameter

We present a Bianchi type-V cosmological model with deceleration parameter as a simple linear function of the Hubble parameter interacting with a perfect fluid in the general theory of relativity. For Bianchi type-V space-time, the available solutions of Einstein field equations have been procure under the assumption of linear deceleration parameter, q = A + BH, where H is the Hubble parameter. Also,during the evolution of the Bianchi-V universe, dark energy(DE) with a variable EoS parameters has been studied in detail and w slowly varies around w = –0.33 for a 10 GYr. lapse, which involves an accelerated expansion, through an expansion not compatible with current. In this article, we discuss the physical and geometrical facets of the cosmological parameter of the model. Several elements of the model universe are explained by the jerk parameter and energy conditions, including the recent cosmological expansion and singularity theories. We also deliberated state-finder parameters, which forecast that the Universe created from Einstein’s static era rallies towards ΛCDM model (r = 1, s = 0).

Generalized cluster correlation expansion theory for stimulated Raman adiabatic passage processes in the presence of a spin bath

Generalized cluster correlation expansion theory for stimulated Raman adiabatic passage processes in the presence of a spin bath

Thermomechanical modeling in elastic body with corotated total Lagrangian SPH

In this paper, we propose a novel thermal deformation formulation for elastic bodies' thermomechanical simulation with total Lagrangian smoothed particle hydrodynamics (TLSPH), which employing fixed reference configuration. We utilize implicit corotated TLSPH as a base methodology to address tensile instability and enhance the robustness of simulation. The reference configuration of heat transfer model is updated, but the reference configuration of thermal deformation model is fixed like TLSPH. As particle's temperature is changed, the inter-particle distance in reference configuration is updated by using linear thermal expansion theory. Validation involved two basic cantilever beam loading cases and a thermomechanical analysis with heat-induced thermal deformation on a cantilever beam. The TLSPH simulation results were compared against Finite Element Method simulations and analytical solutions, demonstrating equivalent accuracy across all tests. This study indicates the potential for conducting a wide array of simulations involving thermal deformation using the TLSPH method, which efficiently supports parallel computing on an individual particle basis.

Incorporating inherited variability into the drainage effect analysis of piezocone tests in gold tailings

The piezocone test (CPTu) is a commonly used field investigation method for analyzing the geomechanical behavior of mine tailings. However, the effect of drainage conditions on CPTu measurements is a critical factor in assessing tailings properties, particularly as tailings are often characterized as silty materials with intermediate permeability. Previous studies of drainage conditions have been hindered by the high variability of tailings materials, leading to considerable dispersion in experimental results. To address this challenge, the present paper proposes a numerical approach to characterize and incorporate the inherent variability of tailings to identify probabilistic limits of drainage. This approach involves characterizing site statistics through piezocone tests and incorporating this variability into a set of Monte Carlo analyses using cavity expansion theory. The results indicate that the probabilistic analysis accurately represents the variability of the normalized resistance, although there is a greater discrepancy when considering pore pressure measurements. As a practical application, probabilistic values of cone resistance were used to establish profiles of fully drained and undrained tests. These corrected profiles can then be used in load capacity methods, providing rational limits of behavior.

The Association between Issuance of Mezzanine and Firm Value

Some firms issue mezzanine for future growth, while some others abuse it. Using Korean firms during 2015-2018, we examine the association between convertible bonds (CB) bonds with warrants (BW) issuance and firm value. We find that issuing CB (BW) is positively associated with firm value, and for firms growing fast, the positive association is strengthened, consistent with investment expansion theory. For firms with greater ownership by the largest shareholder and affiliated parties, the positive association is attenuated, consistent with the wealth transfer hypothesis. Moreover, when outside directors attend a board meeting to issue CB, it has a positive association with firm value.

Ecological niche measurement and high-quality development of "the Belt and Road" core area.

A new stage in promoting the construction of the Silk Road Economic Belt Core Area, and Xinjiang has been transformed from a relatively closed inland area into an open border. In order to promote the high-quality development of Southern Xinjiang and solve the imbalance contradiction between the development of the Northern Xinjiang and Southern Xinjiang, taking the four districts in Southern Xinjiang as the study area, constructing a high-quality development ecological niche index system of three levels, namely economic, social and ecological, adopting the entropy method to assign weights to the evaluation indexes, and measuring the ecological niche width and the degree of ecological niche overlap of this region in the period from 2011 to 2020. The results show that: Firstly, tourism has the greatest impact on the ecological niche of economic development in state N, with a weighting of 14.18%; Secondly, the ecological status width of economic development in state N demonstrates a structural characteristic of "low level and low gap". The average value of ecological niche width is at class III, indicating a low development status and weak regional influence; Thirdly, the ecological niche overlap of state N is significantly influenced by spatial factors. Regions Z and S are closer together, resulting in higher competition for resource utilization and an average ecological niche overlap at class II. The other two regions are at class III. According to the theory of ecological niche expansion and separation, a specialization separation strategy should be adopted for areas with "low width and high overlap", and a strengthening expansion strategy should be adopted for areas with "low width and low overlap", to optimize the structure of ecological niches and promote high-quality development of the region.

How healthcare team build Resilience to Stress

Introduction: This study explores how the interaction theory of stress and coping, the expansion and construction theory of positive emotions, and the conservation of resources theory can help healthcare teams resist stress. Community resilience has been overlooked in health research on individual resilience. This study examines the resilience of teams to overcome knowledge gaps. Methodology: A snowballing method was used to select 10 members of the oral and maxillofacial surgery team for the study. Zoom was used to conduct 10 semi-structured interviews with three study participants. What causes team stress? How is stress tolerance defined? What strategies does the team use to build resilience? Interviews were coded using thematic analysis. Results: Research has found that patient care, long working hours, conflicting work commitments and a lack of control contribute to employee stress. Transactional theories of stress and coping suggest that a problem- and meaning-centered approach can help people cope with a variety of stressors. Teams also leverage social capital, constructive criticism, and positive emotions. It turns out that people have different definitions of resilience. Resilience is defined as a quality, characteristic, or strategy for coping with stress. Conclusion: The paper concludes with recommendations for implementation. Research shows that unpleasant emotions are expressed in difficult, low-stress work situations. It supports the non-suppression of unpleasant feelings, their resolution, and solutions. Management needs to step in and teach team members to express uncomfortable feelings in a constructive way.