Numerical analysis of a quasistatic elasto-piezoelectric contact problem with damage

DOI10.1080/00207160902811135zbMath1175.74016OpenAlexW1967445717MaRDI QIDQ3643174

José R. Fernández, Rebeca Martínez

Publication date: 10 November 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160902811135

zbMATH Keywords

error estimatesfinite elementsdamagenumerical simulationsnormal complianceelasto-piezoelectricity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Brittle damage (74R05)

Cites Work

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• Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments
• Frictional contact problems with normal compliance
• Damage, gradient of damage and principle of virtual power
• Saint-Venant's principle in linear piezoelectricity
• Numerical analysis of two frictionless elastic-piezoelectric contact problems
• AN EXISTENCE AND UNIQUENESS RESULT FOR AN ELASTO-PIEZOELECTRIC PROBLEM WITH DAMAGE
• Numerical analysis of an elasto-piezoelectric problem with damage
• Theoretical and computational aspects of a thermodynamically consistent framework for geometrically linear gradient damage

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