Symmetry and positive definiteness of the tensor-valued spring constant derived from P1-FEM for the equations of linear elasticity

DOI10.3934/NHM.2014.9.617zbMath1302.74019OpenAlexW2078792922MaRDI QIDQ484826

Masato Kimura, Hirofumi Notsu

Publication date: 8 January 2015

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2014.9.617

zbMATH Keywords

linear elasticityfinite element methodspring constantspring-block system

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Theories of fracture and damage (74A45)

Related Items (1)

A variational discrete element method for the computation of Cosserat elasticity

Cites Work

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• A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations
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• An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems
• Elastic crack growth in finite elements with minimal remeshing

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