Quantitative Characterization of Stress Concentration in the Presence of Closely Spaced Hard Inclusions in Two-Dimensional Linear Elasticity
Sign Up to like & getrecommendations! Published in 2017 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-018-1318-1
Abstract: In the region between close-to-touching hard inclusions, stress may be arbitrarily large as the inclusions get closer. This stress is represented by the gradient of a solution to the Lamé system of linear elasticity. We… read more here.
Keywords: lam system; singular functions; linear elasticity; stress ... See more keywords
Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems
Sign Up to like & getrecommendations! Published in 2017 at "Science China Mathematics"
DOI: 10.1007/s11425-017-9181-2
Abstract: A posteriori error estimators for the symmetric mixed finite element methods for linear elasticity problems with Dirichlet and mixed boundary conditions are proposed. Reliability and efficiency of the estimators are proved. Finally, numerical examples are… read more here.
Keywords: linear elasticity; elasticity problems; posteriori error; mixed finite ... See more keywords
Full H(div)-approximation of linear elasticity on quadrilateral meshes based on ABF finite elements
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.12.013
Abstract: Abstract For meshes of nondegenerate, convex quadrilaterals, we present a family of stable mixed finite element spaces for the mixed formulation of planar linear elasticity. The problem is posed in terms of the stress tensor,… read more here.
Keywords: full div; linear elasticity; finite elements; div ... See more keywords
Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.03.016
Abstract: We develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut finite elements whic ... read more here.
Keywords: topology; topology optimization; domain; linear elasticity ... See more keywords
A low-order nonconforming method for linear elasticity on general meshes
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2019.05.031
Abstract: In this work we construct a low-order nonconforming approximation method for linear elasticity problems supporting general meshes and valid in two and three space dimensions. The method is obtained by hacking the Hybrid High-Order method… read more here.
Keywords: low order; order; order nonconforming; method ... See more keywords
A least squares method for linear elasticity using a patch reconstructed space
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2020.112902
Abstract: Abstract We propose a discontinuous least squares finite element method for solving the linear elasticity. The approximation space is obtained by patch reconstruction with only one unknown per element. We apply the L 2 norm… read more here.
Keywords: squares method; space; least squares; patch ... See more keywords
Direct experimental evidence for the non-linear elasticity of multi-functional alloy Ti2448
Sign Up to like & getrecommendations! Published in 2021 at "Composites Communications"
DOI: 10.1016/j.coco.2021.100672
Abstract: Abstract The ageing of human bone leads to bone diseases and the functional failure of joints. Joint replacement is effective in relieving paints and recovering functions. The mechanical properties of materials determine the performance of… read more here.
Keywords: non linear; ti2448; direct experimental; linear elasticity ... See more keywords
On the characterisation of polar fibrous composites when fibres resist bending
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2017.10.001
Abstract: This study aims to initiate research for the invention of methods appropriate for characterisation of fibre-reinforced materials that exhibit polar material behaviour due to fibre bending resistance. It thus focuses interest in the small strain… read more here.
Keywords: characterisation; fibre; value; linear elasticity ... See more keywords
Anomalous linear elasticity of disordered networks
Sign Up to like & getrecommendations! Published in 2022 at "Soft Matter"
DOI: 10.1039/d2sm01253g
Abstract: Continuum elasticity is a powerful tool applicable in a broad range of physical systems and phenomena. Yet, understanding how and on what scales material disorder may lead to the breakdown of continuum elasticity is not… read more here.
Keywords: elasticity; elasticity disordered; disordered networks; anomalous linear ... See more keywords
Topological sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity
Sign Up to like & getrecommendations! Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/ab2c91
Abstract: This article is concerned with a geometric inverse problem related to the twodimensional linear elasticity system. Thereby, voids under Navier’s boundary conditions are reconstructed from the knowledge of partially over-determined boundary data. The proposed approach… read more here.
Keywords: voids navier; linear elasticity; topological sensitivity; boundary conditions ... See more keywords
The universal program of linear elasticity
Sign Up to like & getrecommendations! Published in 2022 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/10812865221091305
Abstract: Universal displacements are those displacements that can be maintained, in the absence of body forces, by applying only boundary tractions for any material in a given class of materials. Therefore, equilibrium equations must be satisfied… read more here.
Keywords: universality constraints; elasticity; elastic moduli; linear elasticity ... See more keywords