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A Reformulation of the Browaeys and Chevrot Decomposition of Elastic Maps J. Elast. (IF 2.0) Pub Date : 2024-03-08 Walter Tape, Carl Tape
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Modelling the Deformation of Polydomain Liquid Crystal Elastomers as a State of Hyperelasticity J. Elast. (IF 2.0) Pub Date : 2024-02-26 Afshin Anssari-Benam, Zhengxuan Wei, Ruobing Bai
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A Strain Energy Function for Planar Response of a Constrained Cosserat Extensible Elastica with a General Reference Planar Shape J. Elast. (IF 2.0) Pub Date : 2024-02-21
Abstract An analytical expression for the strain energy of a constrained extensible Cosserat elastica is developed for general planar shapes and deformations of the rod. This strain energy function naturally couples tangential stretch and reference and current curvatures of the centroidal curve. The model considers a rigid rectangular cross-section of the rod which remains normal to the centroidal
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An Approximate Stress Distribution in a Conical Heap of Jammed Dry Granular Material J. Elast. (IF 2.0) Pub Date : 2024-02-20 M. B. Rubin
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Fiber-Reinforced Elastic Shells: A Direct Cosserat Approach J. Elast. (IF 2.0) Pub Date : 2024-02-19 Ryan C. McAvoy
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Boundary Value Problems in a Theory of Bending of Thin Micropolar Plates with Surface Elasticity J. Elast. (IF 2.0) Pub Date : 2024-02-13 Alireza Gharahi
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On the Averaging and Closure of Fiber Orientation Tensors in Virtual Process Chains J. Elast. (IF 2.0) Pub Date : 2024-02-05
Abstract Fiber orientation tensors (FOT) are widely used to approximate statistical orientation distributions of fibers within fiber-reinforced polymers. The design process of components made of such fiber-reinforced composites is usually accompanied by a virtual process chain. In this virtual process chain, process-induced FOT are computed in a flow simulation and transferred to the structural simulation
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Internally Balanced Elasticity Tensor in Terms of Principal Stretches J. Elast. (IF 2.0) Pub Date : 2024-02-05 Ashraf Hadoush
A new scheme for hyperelastic material is developed based on applying the argument of calculus variation to two-factor multiplicative decomposition of the deformation gradient. Then, Piola–Kirchhoff stress is coupled with internal balance equation. Strain energy function is expressed in terms of principal invariants of the deformation gradient decomposed counterparts. Recent work introduces a strain
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Pure Torsion for Stretch-Based Constitutive Models for Incompressible Isotropic Hyperelastic Soft Materials J. Elast. (IF 2.0) Pub Date : 2024-01-25 Cornelius O. Horgan
Stretch-based constitutive models for isotropic hyperelastic materials as alternatives to the classical strain invariant models have been the subject of considerable recent attention largely motivated by application to modelling the mechanical response of soft tissues. One such four-parameter constitutive model was proposed recently by Anssari-Benam (J. Elast. 153:219–244, 2023) for incompressible
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Potential Functions for Functionally Graded Transversely Isotropic Media Subjected to Thermal Source in Thermoelastodynamics Problems J. Elast. (IF 2.0) Pub Date : 2024-01-24
Abstract This paper develops a novel set of displacement temperature potential functions to solve the thermoelastodynamic problems in functionally graded transversely isotropic media subjected to thermal source. For this purpose, three-dimensional heat and wave equations are considered to obtain the displacement temperature equations of motion for functionally graded materials. In the present study
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Revisiting Stress Propagation in a Two-Dimensional Elastic Circular Disk Under Diametric Loading J. Elast. (IF 2.0) Pub Date : 2024-01-10 Yosuke Sato, Haruto Ishikawa, Satoshi Takada
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A Novel Approach to Setting the Problem of Lagrange for Dynamical Systems and Nonlinear Elastodynamics J. Elast. (IF 2.0) Pub Date : 2024-01-09
Abstract The classical Lagrange problem for dynamical systems introduces a Lagrangian action functional defined for any dynamical process that is envisioned to take place over a fixed interval of time with its state at each time lying on an unknown, but prescribed, configuration between two given end points in an \(n\) -dimensional state space \(\mathbb{R}^{n}\) . It is proposed that the fundamental
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Scholarly Works, Academic Lineage, and Doctoral Advisees of Jerald L. Ericksen J. Elast. (IF 2.0) Pub Date : 2024-01-03 Roger Fosdick, Eliot Fried, Chi-Sing Man
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The Euler–Bernoulli Limit of Thin Brittle Linearized Elastic Beams J. Elast. (IF 2.0) Pub Date : 2023-11-28 Janusz Ginster, Peter Gladbach
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Complete General Solutions for Equilibrium Equations of Isotropic Strain Gradient Elasticity J. Elast. (IF 2.0) Pub Date : 2023-11-24 Yury Solyaev
In this paper, we consider isotropic Mindlin–Toupin strain gradient elasticity theory, in which the equilibrium equations contain two additional length-scale parameters and have the fourth order. For this theory, we developed an extended form of Boussinesq–Galerkin (BG) and Papkovich–Neuber (PN) general solutions. The obtained form of BG solution allows to define the displacement field through a single
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Controllable Deformations of Unconstrained Ideal Nematic Elastomers J. Elast. (IF 2.0) Pub Date : 2023-10-18 L. Angela Mihai, Alain Goriely
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On the Question of the Sign of Size Effects in the Elastic Behavior of Foams J. Elast. (IF 2.0) Pub Date : 2023-10-06 Stephan Kirchhof, Alfons Ams, Geralf Hütter
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A Generalized Model for Large Deformations of an Elastically Isotropic Material with Elastic-Inelastic Response J. Elast. (IF 2.0) Pub Date : 2023-09-13 M. B. Rubin
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Cauchy Relations in Linear Elasticity: Algebraic and Physics Aspects J. Elast. (IF 2.0) Pub Date : 2023-09-07 Yakov Itin
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Edge Crack Subject to Anti-Plane Shear Wave in an Orthotropic Strip J. Elast. (IF 2.0) Pub Date : 2023-08-28 Somashri Karan, Sourav Kumar Panja, Sanjoy Basu, Subhas Chandra Mandal
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Construction of Invariant Relations of $n$ Symmetric Second-Order Tensors J. Elast. (IF 2.0) Pub Date : 2023-08-28 Adair Roberto Aguiar, Gabriel Lopes da Rocha
A methodology is presented to find either implicit or explicit relations, called syzygies, between invariants in a minimal integrity basis for \(n\) symmetric second-order tensors defined on a three-dimensional euclidean space. The methodology i) yields explicit non-polynomial expressions for certain invariants in terms of the remaining invariants in the integrity basis and ii) allows the construction
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Foreword: In Recognition of the 85th Birthday of Roger L. Fosdick J. Elast. (IF 2.0) Pub Date : 2023-08-25 Ryan S. Elliott, Adair R. Aguiar, Yi-Chao Chen, Gianni Royer-Carfangi
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Decomposition of Rod Displacements via Bernoulli–Navier Displacements. Application: A Loading of the Rod with Shearing J. Elast. (IF 2.0) Pub Date : 2023-08-04 Georges Griso
Within the framework of linear elasticity, we show that any displacement of a straight rod is the sum of a Bernoulli–Navier displacement and two terms, one for shearing and the other for warping. Then, we load a straight rod so that bending and shear contribute the same to the rotations of the cross-section.
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A Class of Nonlinear Elasticity Problems with No Local but Many Global Minimizers J. Elast. (IF 2.0) Pub Date : 2023-08-04 Yury Grabovsky, Lev Truskinovsky
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Stress Concentration Due to the Presence of a Rigid Elliptical Inclusion in Porous Elastic Solids Described by a New Class of Constitutive Relations J. Elast. (IF 2.0) Pub Date : 2023-07-21 Bhaskar Vajipeyajula, Pavitra Murru, K. R. Rajagopal
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Anisotropy and Asymmetry of the Elastic Tensor of Lattice Materials J. Elast. (IF 2.0) Pub Date : 2023-07-18 Huiming Yin, Chao Liu
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Ericksen-Landau Modular Strain Energies for Reconstructive Phase Transformations in 2D Crystals J. Elast. (IF 2.0) Pub Date : 2023-07-13 Edoardo Arbib, Paolo Biscari, Clara Patriarca, Giovanni Zanzotto
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Inclusions with Uniform Stress in a Bounded Elastic Domain J. Elast. (IF 2.0) Pub Date : 2023-07-07 Ming Dai
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Solid Phase Transitions in the Liquid Limit J. Elast. (IF 2.0) Pub Date : 2023-06-21 Yury Grabovsky, Lev Truskinovsky
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Universal Deformations of Incompressible Nonlinear Elasticity as Applied to Ideal Liquid Crystal Elastomers J. Elast. (IF 2.0) Pub Date : 2023-06-07 Victoria Lee, Kaushik Bhattacharya
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Singular Points and Singular Curves in von Kármán Elastic Surfaces J. Elast. (IF 2.0) Pub Date : 2023-06-06 Animesh Pandey, Anurag Gupta
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Nucleation and Development of Multiple Cracks in Thin Composite Fibers via the Inverse-Deformation Approach J. Elast. (IF 2.0) Pub Date : 2023-06-06 Arnav Gupta, Timothy J. Healey
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A Second Gradient Theory of Thermoelasticity J. Elast. (IF 2.0) Pub Date : 2023-05-22 D. Ieşan, R. Quintanilla
This paper is concerned with a linear theory of thermoelasticity without energy dissipation, where the second gradient of displacement and the second gradient of the thermal displacement are included in the set of independent constitutive variables. In particular, in the case of rigid heat conductors the present theory leads to a fourth order equation for temperature. First, the basic equations of
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Renormalized Energy of a Dislocation Loop in a 3D Anisotropic Body J. Elast. (IF 2.0) Pub Date : 2023-05-09 Miroslav Šilhavý
The paper presents a rigorous analysis of the singularities of elastic fields near a dislocation loop in a body of arbitrary material symmetry that extends over the entire three-space. Explicit asymptotic formulas are given for the stress, strain and the incompatible distortion near the curved dislocation. These formulas are used to analyze the main object of the paper, the renormalized energy. The
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Damage as a Material Phase Transition J. Elast. (IF 2.0) Pub Date : 2023-04-26 Andrea Bucchi, Domenico De Tommasi, Giuseppe Puglisi, Giuseppe Saccomandi
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Relaxation and Domain Wall Structure of Bilayer Moiré Systems J. Elast. (IF 2.0) Pub Date : 2023-04-25 Paul Cazeaux, Drake Clark, Rebecca Engelke, Philip Kim, Mitchell Luskin
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Mechanical Response of Metal Solenoids Subjected to Electric Currents J. Elast. (IF 2.0) Pub Date : 2023-04-25 R. S. Elliott, N. Triantafyllidis
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A Double Coated Circular Inhomogeneity Neutral to an Arbitrary Uniform in-Plane Stress Field J. Elast. (IF 2.0) Pub Date : 2023-04-19 Xu Wang, Peter Schiavone
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On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation J. Elast. (IF 2.0) Pub Date : 2023-04-18 Angkana Rüland, Theresa M. Simon
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Harmonic Decomposition, Irreducible Basis Tensors, and Minimal Representations of Material Tensors and Pseudotensors J. Elast. (IF 2.0) Pub Date : 2023-04-11 Chi-Sing Man, Wenwen Du
We propose a general and efficient method to derive various minimal representations of material tensors or pseudotensors for crystals. By a minimal representation we mean one that pertains to a specific Cartesian coordinate system under which the number of independent components in the representation is the smallest possible. The proposed method is based on the harmonic and Cartan decompositions and
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Stable Möbius Bands from Isometrically Deformed Circular Helicoids J. Elast. (IF 2.0) Pub Date : 2023-03-21 Vikash Chaurasia, Eliot Fried
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Gels: Energetics, Singularities, and Cavitation J. Elast. (IF 2.0) Pub Date : 2023-03-21 M. Carme Calderer, Duvan Henao, Manuel A. Sánchez, Ronald A. Siegel, Sichen Song
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A New Drucker Yield Function for Orthorhombic Aggregates of Cubic Crystallites J. Elast. (IF 2.0) Pub Date : 2023-03-21 Mojia Huang, Fengying Xiao, Zhiwen Lan
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A Variational Derivation of Stoney-Like Formulas for Self-Stressed Bilayered Plates J. Elast. (IF 2.0) Pub Date : 2023-03-21 Antonio DiCarlo, Roberto Paroni, Raffaella Rizzoni
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Perturbation of Bleustein–Gulyaev Waves in Piezoelectric Media: Barnett and Lothe Integral Formalism Revisited J. Elast. (IF 2.0) Pub Date : 2023-03-17 Kazumi Tanuma, Xiang Xu, Gen Nakamura
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On the Algebraic Riccati Equations of Finite Elastostatics J. Elast. (IF 2.0) Pub Date : 2023-03-15 Gearoid Mac Sithigh
In the setting of either compressible or incompressible Finite Elastostatics, Agmon’s condition may be formulated in terms of an algebraic Riccati equation. These equations are studied under the assumption of Strong Ellipticity.
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Radially Oscillating Incompressible Hyperelastic Multi-Layer Tubes: Interface Effects and Energy Approach J. Elast. (IF 2.0) Pub Date : 2023-03-15 Atacan Yucesoy, Thomas J. Pence
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Swelling Induced Twist in Hyperelastic Tubes Due to Spiral Patterned Biasing Fibers in the Cross Section J. Elast. (IF 2.0) Pub Date : 2023-03-15 Hasan Demirkoparan, Thomas J. Pence
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Conformal Deformations of a Dilational Material Surface J. Elast. (IF 2.0) Pub Date : 2023-03-09 Yi-chao Chen, Eliot Fried
Dilational materials, for which the angles between pairs of material fibers are preserved under deformations, are an important class of metamaterials. Although these materials are typically made by assembling discrete elemental building blocks in repeating patterns, continuum mechanics provides a powerful tool for exploring their macroscopic properties and response. We present an analysis of the constraint
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On an Alternative Approach for Mixed Boundary Value Problems for the Lamé System J. Elast. (IF 2.0) Pub Date : 2023-03-09 David Natroshvili, Tornike Tsertsvadze
We consider a special approach to investigate a mixed boundary value problem (BVP) for the Lamé system of elasticity in the case of three-dimensional bounded domain \(\varOmega \subset \mathbb{R}^{3}\), when the boundary surface \(S=\partial \varOmega \) is divided into two disjoint parts, \(S_{D}\) and \(S_{N}\), where the Dirichlet and Neumann type boundary conditions are prescribed respectively
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A Dual Variational Principle for Nonlinear Dislocation Dynamics J. Elast. (IF 2.0) Pub Date : 2023-03-09 Amit Acharya
A dual variational principle is defined for the nonlinear system of PDE 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 PDE is also developed.
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The Elastic Properties of Dilute Solid Suspensions with Imperfect Interfacial Bonding: Variational Approximations Versus Full-Field Simulations J. Elast. (IF 2.0) Pub Date : 2023-03-08 Valentin Gallican, Miroslav Zecevic, Ricardo A. Lebensohn, Martín I. Idiart
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Analytical Thermodynamics J. Elast. (IF 2.0) Pub Date : 2023-03-02 Paolo Podio-Guidugli, Epifanio G. Virga
This paper proposes a theory that bridges classical analytical mechanics and nonequilibrium thermodynamics. Its intent is to derive the evolution equations of a system from a stationarity principle for a suitably augmented Lagrangian action. This aim is attained for homogeneous systems, described by a finite number of state variables depending on time only. In particular, it is shown that away from
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A Simplified Eulerian Formulation of a Multi-Phase Soft Tissue Model with Homeostasis and Phase Transformation J. Elast. (IF 2.0) Pub Date : 2023-02-23 M. B. Rubin
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A Generalized Ogden-Type Elastically Isotropic Hyperelastic Model Including Elastic-Viscoplastic Response J. Elast. (IF 2.0) Pub Date : 2023-02-23 M. B. Rubin, K. Heiduschke
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(High Frequency-) Uniqueness Criteria for $p$ -Growth Functionals in in- and Compressible Elasticity J. Elast. (IF 2.0) Pub Date : 2023-02-22 Marcel Dengler
In this work our main objective is to establish various (high frequency-) uniqueness criteria. Initially, we consider \(p\)-Dirichlet type functionals on a suitable class of measure preserving maps \(u: B\subset \mathbb{R}^{2} \to \mathbb{R}^{2}\), \(B\) being the unit disk, and subject to suitable boundary conditions. In the second part we focus on a very similar situations only exchanging the previous
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One-Dimensional Failure Modes for Bodies with Non-convex Plastic Energies J. Elast. (IF 2.0) Pub Date : 2023-02-22 Gianpietro Del Piero, Giovanni Lancioni, Riccardo March
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Homogenization of an Anisotropic Elastic Material Reinforced by a Small Volume Fraction of Very Stiff Anisotropic Fibers. Non Local Effects. Bending Effects. Torsional Effects J. Elast. (IF 2.0) Pub Date : 2023-02-22 Michel Bellieud