A VDQ‐based multifield approach to the 2D compressible nonlinear elasticity
Sign Up to like & getrecommendations! Published in 2019 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6015
Abstract: A numerical multifield methodology is developed to address the large deformation problems of hyperelastic solids based on the 2D nonlinear elasticity in the compressible and nearly incompressible regimes. The governing equations are derived using the… read more here.
Keywords: based multifield; vdq based; vdq; approach ... See more keywords
Augmented Lagrangian approach to deriving discontinuous Galerkin methods for nonlinear elasticity problems
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.7039
Abstract: We use the augmented Lagrangian formalism to derive discontinuous Galerkin (DG) formulations for problems in nonlinear elasticity. In elasticity, stress is typically a symmetric function of strain, leading to symmetric tangent stiffness matrices in Newton's… read more here.
Keywords: discontinuous galerkin; elasticity; lagrangian approach; nonlinear elasticity ... See more keywords
Large deformation analysis in the context of 3D compressible nonlinear elasticity using the VDQ method
Sign Up to like & getrecommendations! Published in 2020 at "Engineering with Computers"
DOI: 10.1007/s00366-020-00959-3
Abstract: In this article, a new solution approach is developed to numerically compute large deformations of 3D hyperelastic solids based on the compressible nonlinear elasticity. The governing equations are derived by the minimum total potential energy… read more here.
Keywords: compressible nonlinear; deformation analysis; nonlinear elasticity; analysis context ... See more keywords
Weak fatigue notch sensitivity in a biomedical titanium alloy exhibiting nonlinear elasticity
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DOI: 10.1007/s40843-017-9158-7
Abstract: It is well known that metallic materials exhibit worse fatigue damage tolerance as they behave stronger in strength and softer in modulus. This raises concern on the long term safety of the recently developed biomechanical… read more here.
Keywords: fatigue notch; nonlinear elasticity; notch; titanium ... See more keywords
Dynamic analysis of size-dependent micro-beams with nonlinear elasticity under electrical actuation
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2016.11.025
Abstract: Abstract This paper presents a nonlinear electro-dynamic analysis for a size dependent micro-beam made of materials with nonlinear elasticity by employing the modified couple stress theory based on Euler–Bernoulli beam model. By employing Hamilton's principle,… read more here.
Keywords: analysis size; nonlinear elasticity; size; micro ... See more keywords
Compatible-strain mixed finite element methods for 2D compressible nonlinear elasticity
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2016.09.047
Abstract: Abstract In this paper, using the Hilbert complexes of nonlinear elasticity, the approximation theory for Hilbert complexes, and the finite element exterior calculus, we introduce a new class of mixed finite element methods for 2D… read more here.
Keywords: finite element; mixed finite; nonlinear elasticity; element methods ... See more keywords
Simulation of crack induced nonlinear elasticity using the combined finite-discrete element method.
Sign Up to like & getrecommendations! Published in 2019 at "Ultrasonics"
DOI: 10.1016/j.ultras.2019.06.003
Abstract: Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we introduce a two-dimensional implementation of… read more here.
Keywords: nonlinear elasticity; element method; crack;
Strain Hardening in Highly Acetylated Chitosan Gels.
Sign Up to like & getrecommendations! Published in 2021 at "Biomacromolecules"
DOI: 10.1021/acs.biomac.1c00293
Abstract: Strain hardening has recently emerged as a near-universal response of biological tissues to mechanical stimulation as well as a powerful regulator of cell fate. Understanding the mechanistic basis for this nonlinear elasticity is crucial for… read more here.
Keywords: acetylated chitosan; nonlinear elasticity; highly acetylated; strain hardening ... See more keywords
A Model for Nonlinear Elasticity in Rocks Based on Friction of Internal Interfaces and Contact Aging
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DOI: 10.1093/gji/ggy414
Abstract: Nonclassical nonlinear elasticity in micro-inhomogeneous materials such as rocks and cracked or granular materials leads to a number of phenomena ranging from hysteresis and memory to a transient response of elastic properties to perturbations in… read more here.
Keywords: nonlinear elasticity; model nonlinear; elasticity; based friction ... See more keywords
Piecewise affine stress-free martensitic inclusions in planar nonlinear elasticity
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences"
DOI: 10.1098/rspa.2017.0235
Abstract: We consider a partial differential inclusion problem which models stress-free martensitic inclusions in an austenitic matrix, based on the standard geometrically nonlinear elasticity theory. We show that for specific parameter choices there exist piecewise affine… read more here.
Keywords: martensitic inclusions; nonlinear elasticity; free martensitic; piecewise affine ... See more keywords
Nonlinear elasticity of incompatible surface growth.
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DOI: 10.1103/physreve.99.053001
Abstract: Surface growth is a crucial component of many natural and artificial processes, from cell proliferation to additive manufacturing. In elastic systems surface growth is usually accompanied by the development of geometrical incompatibility, leading to residual… read more here.
Keywords: incompatible surface; nonlinear elasticity; surface growth; growth ... See more keywords