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Nonlinear elastic constitutive relations of residually stressed composites with stiff curved fibres
Mechanical models of residually stressed fibre-reinforced solids, which do not resist bending, have been developed in the literature. However, in...
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Stiffness and toughness of soft/stiff suture joints in biological composites
Biological composites can overcome the conflict between strength and toughness to achieve unprecedented mechanical properties in engineering...
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A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions
In this paper, we study a generalized quasi-variational inequality (GQVI for short) with two multivalued operators and two bifunctions in a Banach...
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Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics
Material identification is critical for understanding the relationship between mechanical properties and the associated mechanical functions....
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Nonlinear dynamic analysis of moving bilayer plates resting on elastic foundations
The aim of this study is to investigate the dynamic response of axially moving two-layer laminated plates on the Winkler and Pasternak foundations....
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Combined effects of axial load and temperature on finite deformation of incompressible thermo-hyperelastic cylinder
A finite deformation problem is examined for a cylinder composed of a class of incompressible thermo-hyperelastic Mooney-Rivlin materials under an...
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Phase-field simulation of the coupled evolutions of grain and twin boundaries in nanotwinned polycrystals
Nanotwinned polycrystals exhibit an excellent strength-ductility combination due to nanoscale twins and grains. However, nanotwin-assisted grain...
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Variations of Deformations with Self-Contact on Lipschitz Domains
We analyze the injective deformations on Lipschitz domains, motivated by the configurations of solid elastic materials. Our goal is to rigorously...
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Space-time discontinuous Galerkin method for the solution of fluid-structure interaction
The paper is concerned with the application of the space-time discontinuous Galerkin method (STDGM) to the numerical solution of the interaction of a...
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Controllable wave propagation in a weakly nonlinear monoatomic lattice chain with nonlocal interaction and active control
The one-dimensional monoatomic lattice chain connected by nonlinear springs is investigated, and the asymptotic solution is obtained through the...
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Nonlinear Shell Models of Kirchhoff-Love Type: Existence Theorem and Comparison with Koiter’s Model
We define two nonlinear shell models whereby the deformation of an elastic shell with small thickness minimizes ad hoc functionals over sets of...
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Fourier-Chebyshev spectral method for cavitation computation in nonlinear elasticity
A Fourier-Chebyshev spectral method is proposed in this paper for solving the cavitation problem in nonlinear elasticity. The interpolation error for...
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Large deflection of curved elastic beams made of Ludwick type material
The large deflection of an axially extensible curved beam with a rectangular cross-section is investigated. The elastic beam is assumed to satisfy...
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Temperature stress analysis for bi-modulus beam placed on Winkler foundation
The materials with different moduli in tension and compression are called bi-modulus materials. Graphene is such a kind of materials with the highest...
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Electromechanical responses and instability of electro-active polymer cylindrical shells
Based on the theories of finite deformation elasticity, electromechanical responses and instability of an incompressible electro-active polymer (EAP)...
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Orientation-preservation conditions on an iso-parametric FEM in cavitation computation
The orientation-preservation condition, i.e., the Jacobian determinant of the deformation gradient det ∇ u being required to be positive, is a natural...
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Recovery of immersions from their metric tensors and nonlinear Korn inequalities: A brief survey
The authors discuss the existence and uniqueness up to isometries of E n of immersions ϕ : Ω ⊂ R n → E n with prescribed metric tensor field ( g ...
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Linear and nonlinear torsional free vibration of functionally graded micro/nano-tubes based on modified couple stress theory
The linear and nonlinear torsional free vibration analyses of functionally graded micro/nano-tubes (FGMTs) are analytically investigated based on the...
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Spatial Dispersion of Elastic Waves in a Bar Characterized by Tempered Nonlocal Elasticity
We apply the framework of tempered fractional calculus to investigate the spatial dispersion of elastic waves in a one-dimensional elastic bar...
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Size-dependent effect on biaxial and shear nonlinear buckling analysis of nonlocal isotropic and orthotropic micro-plate based on surface stress and modified couple stress theories using differential quadrature method
The size-dependent effect on the biaxial and shear nonlinear buckling analysis of an isotropic and orthotropic micro-plate based on the surface...