Article
Engineering, Chemical
N. Carrere, A. Doitrand, E. Martin, D. Leguillon
Summary: Epoxy adhesives are ideal for assembling certain materials, but pores can affect crack initiation and final strength. This study investigates the impact of small voids undetectable by traditional testing methods. A method combining strength and toughness criteria is used to analyze failure mechanisms in the presence of pores, with calculations showing how defects near edges and stress concentrations affect load at failure.
INTERNATIONAL JOURNAL OF ADHESION AND ADHESIVES
(2021)
Article
Materials Science, Multidisciplinary
Ivan I. Sukhanov, Ivan A. Ditenberg
Summary: By presenting a model of a continuously distributed disclination defect and analyzing the features of nanostructural states with high lattice curvature in niobium, the spatial distributions of stress fields and energies at the nanoscale level are constructed. It is found that the energy distribution exhibits highly localized extrema and an energy criterion for high-energy states is proposed.
METALLURGICAL AND MATERIALS TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE
(2022)
Article
Mechanics
Markus Lazar
Summary: This study resolves the long-standing problem of dislocations in Mindlin-type incompatible isotropic strain gradient elasticity theory. Exact analytical solutions for screw and edge dislocations are derived and numerical analysis is conducted using parameters obtained from first-principles calculations. The results show that the theory with three characteristic lengths provides a more realistic description of edge dislocations than the simplified incompatible strain gradient elasticity with only one characteristic length.
Article
Multidisciplinary Sciences
Manish Singh, Ayan Roychowdhury, Anurag Gupta
Summary: A general framework is developed to study the deformation and stress response in Foppl-von Karman shallow shells with defects and metric anomalies. The theory includes dislocations and disclinations and their interactions with growth strains. Several boundary value problems are solved numerically.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Forestry
R. Curti, B. Marcon, L. Denaud, M. Togni, R. Furferi, G. Goli
Summary: The influence of grain angle on cutting force in wood milling is not well understood, leading to a reliance on operator experience in setting up complex machining operations. This study proposes an empirical model based on specific cutting coefficients for evaluating cutting force in wood milling, determined through experimentation on different wood species. The model's robustness was analyzed, providing insight into the relationship between cutting force and various input parameters.
EUROPEAN JOURNAL OF WOOD AND WOOD PRODUCTS
(2021)
Article
Computer Science, Theory & Methods
Kristina Ago, Bojan Basic, Stefan Hacko, Danijela Mitrovic
Summary: The number of palindromic factors of a given finite word is bounded by its length increased by 1, with the difference between this upper bound and the actual number of palindromic factors known as the palindromic defect. The study of infinite words with finite positive defects is less common, but in this article, a new family of infinite words with finite defects is constructed. These words have factors closed under reversal and are either periodic or recurrent but not uniformly recurrent, highlighting the significance of studying non uniformly recurrent words.
THEORETICAL COMPUTER SCIENCE
(2021)
Article
Engineering, Mechanical
Hongying Zhang, Huijuan Feng, Jian-Lin Huang, Jamie Paik
Summary: Origami robots are capable of self-reconfiguration, multi-dimensional transformation, and multi-material connections, in which semi-rigid connections play a crucial role in the accuracy of the model.
EXTREME MECHANICS LETTERS
(2021)
Article
Physics, Multidisciplinary
Vladimir Zhdankin
Summary: Entropy is a useful measure for statistical problems, but there is still ambiguity in its mathematical formulation beyond the additive definition. To rigorously apply generalized entropies to nonequilibrium statistical mechanics, a physically interpretable framework that connects to dynamical processes in phase space is needed. In this study, we introduce dimensional measures of entropy with arbitrary invertible weight functions. These "dimensional entropies" have physical dimensions of phase-space volume and represent the extent of level sets of the distribution function. The dimensional entropies with power-law weight functions are particularly robust and do not require internal dimensional parameters due to their scale invariance.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Chemistry, Physical
Jakob Gamper, Florian Kluibenschedl, Alexander K. H. Weiss, Thomas S. Hofer
Summary: This work outlines a generalized and adapted Numerov implementation capable of determining band structures of periodic quantum systems. Based on the input potential, the approach numerically solves the Schro''dinger equation in position space at each momentum space point. In addition to the band structure, this method provides information about the state functions and probability densities in position space at each momentum space point considered. The accuracy of the proposed methodology was benchmarked against analytically solvable models and applied to a challenging application relevant in the field of quantum computing, a 2D optical lattice potential.
JOURNAL OF PHYSICAL CHEMISTRY LETTERS
(2023)
Article
Physics, Multidisciplinary
A. M. Cetto, L. de la Pena, A. Valdes-Hernandez
Summary: The theories of stochastic quantum mechanics and stochastic electrodynamics reveal important aspects of quantum dynamics that are hidden in standard formalism, with stochasticity and diffusion playing a crucial role in the transition from the classical + zpf regime to the quantum regime. Quantumlike phenomena observed in mechanical systems subject to oscillating backgrounds introducing stochasticity may suggest a more general occurrence of quantization under similar circumstances.
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
(2021)
Article
Engineering, Mechanical
R. Ruban, V. D. Vijayanand, S. P. Sivapirakasam, V. S. Srinivasan, G. V. Prasad Reddy
Summary: The creep behavior of two variants of Ti-modified 14Cr-15Ni stainless steel was investigated in relation to their stoichiometric ratio. The study found that the accumulated strain in both variants was similar up to a certain stage, but thereafter, differing damage characteristics resulted in varying rupture lives. A continuum damage mechanics model was used to simulate the damage behavior in both variants and optimized using a genetic algorithm. Microstructural investigations confirmed higher damage evolution in one of the variants, associated with specific precipitates.
ENGINEERING FAILURE ANALYSIS
(2022)
Article
Optics
Bogar Diaz, Diego Gonzalez, Marcos J. Hernandez, J. David Vergara
Summary: Classical analogs of purity, linear quantum entropy, and von Neumann entropy have been proposed for classical integrable systems when the corresponding quantum system is in a Gaussian state. We have generalized these results to provide classical analogs of generalized purities, Bastiaans-Tsallis entropies, Renyi entropies, and logarithmic negativity for classical integrable systems. These classical analogs are characterized by the classical covariance matrix. We have computed these classical analogs exactly for linearly coupled harmonic oscillators, a generalized harmonic oscillator chain, and a one-dimensional circular lattice of oscillators, and found that they reproduce the results of their quantum counterparts when the system is in a Gaussian state. In this context, our results demonstrate the possibility of reproducing quantum information of Gaussian states using classical information.
Article
Engineering, Multidisciplinary
Jinfeng Huang, Lingli Cui, Jianyu Zhang
Summary: This study developed a new method for locating bearing outer raceway defects in low SNR scenarios using tensor decomposition. By establishing a novel tensor model and introducing optimal selection indices, the method successfully processes signals and fuses features. The new location diagnosis index HVSF is also applied in the optimized tensor model.
Article
Computer Science, Interdisciplinary Applications
Bruna Caroline Campos, Felicio Bruzzi Barros, Samuel Silva Penna
Summary: This study improves numerical integration error and computational efficiency in generalized/extended finite element method for linear elastic fracture mechanics problems. Known integration strategies suitable for fracture mechanics analysis were studied and implemented, highlighting the necessity of alternative integration techniques for problems with singularities and/or discontinuities.
ENGINEERING COMPUTATIONS
(2021)
Article
Engineering, Geological
Zhaofeng Wang, Pengzhi Pan, Jianping Zuo, Yaohui Gao
Summary: A three-dimensional strength criterion for hard rock is developed based on fracture mechanics theory and wing crack model. The criterion can be extended to microcrack cluster and simplified as HoekeBrown criterion when the intermediate principal stress s2 equals the minimum principal stress s3. The opening direction of the microcrack cluster decreases with the increase of the intermediate principal stress coefficient, which is described by an empirical function and verified with 10 kinds of hard rocks. The strength of rock is influenced by the coupled effect of stress level and the opening direction of microcrack clusters, resulting in the intermediate principal stress effect.
JOURNAL OF ROCK MECHANICS AND GEOTECHNICAL ENGINEERING
(2023)
Article
Mechanics
Rajat Arora, Amit Acharya
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2020)
Article
Engineering, Multidisciplinary
Rajat Arora, Xiaohan Zhang, Amit Acharya
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2020)
Article
Materials Science, Multidisciplinary
Rajat Arora, Amit Acharya
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2020)
Article
Mathematics, Applied
Chiqun Zhang, Amit Acharya, Alan C. Newell, Shankar C. Venkataramani
Summary: Defects in ordered media are a common feature with universal characteristics, but often appear as 'unphysical' singularities in macroscopic models. Researchers have developed a method to enrich coarse-grained theories to study the dynamics and interactions of defects in extended systems. Their approach is applicable for energy driven behaviors of defects in various types of crystalline materials.
PHYSICA D-NONLINEAR PHENOMENA
(2021)
Article
Engineering, Multidisciplinary
Leo Morin, Amit Acharya
Summary: This study develops a computational model for arbitrary brittle crack propagation within a fault-like layer in a 3D elastic domain, and analyzes its associated quasi-static and dynamic fields. The model utilizes FFT-based solver for linear momentum balance and a Godunov-type projection-evolution method for crack evolution equation. Applications of the model include exploring equilibria, irreversibility, strength and toughness criteria, and crack propagation under different loading conditions.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Materials Science, Multidisciplinary
Amit Acharya
Summary: An action functional is developed for nonlinear dislocation dynamics, aiming to use effective field theory to describe the macroscopic behavior of plasticity in crystalline solids. This work reveals connections between continuum mechanics, material science of defects in solids, effective field theory techniques in physics, and fracton tensor gauge theories.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Mathematics, Applied
Janusz Ginster, Amit Acharya
Summary: This article extends a fundamental result of continuum mechanics and answers a fundamental question in the recent nonlinear elastic theory of dislocations. The implication of the result in the nonlinear theory is different from its counterpart in the linear theory. The result is generalized to matrix fields with non-vanishing curl and it is shown that a matrix field with constant curl is necessarily constant. Additionally, it is proved that a measurable rotation field is as regular as its distributional curl allows.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
(2022)
Article
Materials Science, Multidisciplinary
Amit Acharya, Luiza Angheluta, Jorge Vinals
Summary: This paper discusses the inherent inconsistency in identifying the phase field in the phase field crystal theory with the material mass and distortion, and presents two alternative theories to remedy this issue.
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING
(2022)
Article
Materials Science, Multidisciplinary
Abhishek Arora, Rajat Arora, Amit Acharya
Summary: This study demonstrates the significantly different responses of metal thin films in compression and shear, and successfully simulates this behavior using the Mesoscale Field Dislocation Mechanics (MFDM) model without any modification or additional fitting parameters. This research represents a crucial theoretical advancement in the field of strain gradient plasticity models.
Article
Chemistry, Physical
Saptarshi Saha, Amit Acharya, Gerald J. Wang
Summary: This paper introduces a new algorithm, called the topology-accommodating direction assignment (TADA) algorithm, which can identify topological defects in liquid crystalline materials. By assigning a unique vector to each mesogen, the concept of the liquid crystal director field is extended to the scale of mesogens. The algorithm identifies line segments along which this assigned vector field is discontinuous, with the defects located at the termination points of these line segments, and can identify the mere presence of defects by searching far away from them.
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
(2023)
Article
Mathematics, Applied
Amit Acharya, Marshall Slemrod
Summary: This paper examines a system of partial differential equations describing dislocation dynamics in a crystalline solid. In particular, it considers dynamics linearized about a state of zero stress and uses linear semigroup theory to establish existence, uniqueness, and time-asymptotic behavior of the linear system.
QUARTERLY OF APPLIED MATHEMATICS
(2023)
Article
Engineering, Multidisciplinary
Amit Acharya
Summary: A dual variational principle is proposed for the nonlinear system of PDEs describing the dynamics of dislocations in elastic solids. The dual variational principle accounting for a specified set of initial and boundary conditions for a general class of PDEs is also developed.
JOURNAL OF ELASTICITY
(2023)
Article
Materials Science, Multidisciplinary
Siddharth Singh, He Liu, Rajat Arora, Robert M. Suter, Amit Acharya
Summary: A rigorous methodology is developed to compute the elastic fields generated by defect structures within grains in a polycrystal that has undergone tensile extension. An example application is made using a near-field high energy x-ray diffraction microscope measurement of a zirconium sample that experienced 13.6% tensile extension. The elastic fields of these identified features are calculated by identifying apparent disclination line defects in (sub)grain boundary features.
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Sabyasachi Chatterjee, Amit Acharya
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING
(2020)
Article
Mechanics
Amit Acharya
COMPTES RENDUS MECANIQUE
(2020)
Article
Materials Science, Multidisciplinary
Yanzheng Wang, Qian Wu, Yiran Tian, Guoliang Huang
Summary: This paper proposes the microstructure design of an odd plate and investigates the directional wave energy amplification and the presence of interface waves in odd plates through theoretical and numerical analysis. The research findings contribute to the understanding of elastic behavior in 2D non-Hermitian systems.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
F. Greco, D. Codony, H. Mohammadi, S. Fernandez-Mendez, I. Arias
Summary: This study overcomes the difficulty of harnessing the flexoelectric effect by designing multiscale metamaterials. Through topology optimization calculations, we obtain optimal structures for various apparent piezoelectric properties and find that low-area-fraction lattices are the preferred choice. The results show competitive estimations of apparent piezoelectricity compared to reference materials such as quartz and PZT ceramics.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Xiaoxuan Zhang, Tryaksh Gupta, Zhenlin Wang, Amalie Trewartha, Abraham Anapolsky, Krishna Garikipati
Summary: This study presents a computational framework for coupled electro-chemo-(nonlinear) mechanics at the particle scale in solid-state batteries, including interfacial fracture, degradation in charge transfer, and stress-dependent kinetics. The discontinuous finite element method allows for arbitrary particle shapes and geometries.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Chengguan Zhang, Xavier Balandraud, Yongjun He
Summary: The coexistence of both austenite and martensite is a common characteristic in Shape Memory Alloys (SMAs). The multiple-domain microstructures, consisting of austenite, martensite twins, and individual martensite variants, evolve collectively during the phase transformation, affecting the material's macroscopic response. This paper presents an experimentally observed interface consisting of five domains in a Ni-Mn-Ga single-crystal, and analyzes the effects of thermal loading path and material initial state on the domain pattern formation.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Shaobao Liu, Haiqian Yang, Guang-Kui Xu, Jingbo Wu, Ru Tao, Meng Wang, Rongyan He, Yulong Han, Guy M. Genin, Tian Jian Lu, Feng Xu
Summary: The balance between stress and adhesion plays a crucial role in governing the behaviors of adherent cells, such as cell migration. In certain microenvironments, such as tumor, variations in hydrostatic pressure can significantly impact cell volume and adhesion, which in turn affects cell behavior.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Xun Xiong, Qinglei Zeng, Yonghuan Wang, Ying Li
Summary: In this work, the authors investigate the possibility of enhancing the resistance to crack growth in brittle materials through microstructure design. They establish a computational framework to simulate crack propagation and characterize fracture energy. The effects of different types of voids on toughening mechanisms are explored, and the critical conditions for embrittlement-toughening transition are identified. The study also discusses the difference between void toughening in brittle and ductile materials, and extends the toughening strategy to nacre-like materials.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Huan Wang, Yong-Quan Liu, Jiu-Tao Hang, Guang-Kui Xu, Xi-Qiao Feng
Summary: This study establishes a cytoarchitectural model to accurately capture the buckling and postbuckling behaviors of epithelia under fast compression. The stress evolution of epithelia is divided into three stages: loading, phase transition, and stress recovery. The postbuckling process is governed by the active tension generated by the actomyosin network. The study also proposes a minimal model that predicts the flattening time and stress recovery extent as functions of applied strain or strain rate, in agreement with simulations and experiments.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Lei Liu, Hao Liu, Yuming He, Dabiao Liu
Summary: This study investigates the mechanics and topologically complex morphologies of twisted rubber filaments using a combination of experiment and finite strain theory. A finite strain theory for hyperelastic filaments under combined tension, bending, and torsion has been established, and an experimental and theoretical morphological phase diagram has been constructed. The results accurately determine the configuration and critical points of phase transitions, and the theoretical predictions agree closely with the measurements.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Abhishek Painuly, Kunnath Ranjith, Avinash Gupta
Summary: This paper analyzes the interfacial waves caused by frictional slipping and studies their dispersion relation and wave modes. By studying the slip waves in a geophysical model, the surface wave dispersion phenomenon is explored, and an alternative explanation is proposed.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Houlin Xu, Joshua Vievering, Hoang T. Nguyen, Yupeng Zhang, Jia-Liang Le, Zdenek P. Bazant
Summary: Motivated by the extraordinary strength of nacre, this study investigated the probabilistic distribution of fishnet strength using Monte Carlo simulations and found that previous analytical solutions are not applicable for fishnets with a large number of links. By approximating large-scale fishnets as a continuum with cracks or holes, the study revealed that the strength distribution follows the Weibull distribution. This new model has significance for optimizing the strength-weight ratio in printed material structures.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Souhayl Sadik, Arash Yavari
Summary: This paper revisits the mathematical foundations of nonlinear viscoelasticity and studies the geometry of viscoelastic deformations. It discusses the decomposition of the deformation gradient into elastic and viscous distortions and concludes that the viscous distortion can only be a two-point tensor. The governing equations of nonlinear viscoelasticity are derived and the constitutive and kinetic equations for various types of viscoelastic solids are discussed.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Wen Cheng, Hongkuan Zhang, Yu Wei, Kun Wang, Gengkai Hu
Summary: In this study, we propose a phenomenon similar to Thouless pumping for a continuous in-plane elastic system, enabling topological transport of elastic waves through spatial modulation of material elasticity. By incorporating specific lattice microstructures, termed pentamode materials, precise and robust control over elastic wave propagation is achieved.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)
Article
Materials Science, Multidisciplinary
Linda Werneck, Mertcan Han, Erdost Yildiz, Marc-Andre Keip, Metin Sitti, Michael Ortiz
Summary: We have developed a simple model that describes the ionic current through neuronal membranes by considering the membrane potential and extracellular ion concentration. The model combines a simplified Poisson-Nernst-Planck model of ion transport through individual ion channels with channel activation functions calibrated from experimental data. The calibrated model accounts for the transport of calcium, sodium, potassium, and chloride and shows remarkable agreement with experimentally measured current-voltage curves for human neural cells.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2024)