Hellinger-Reissner variational principle for a class of specified stress problems

DOI10.1515/ijnsns-2021-0039MaRDI QIDQ6173179

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Publication date: 21 July 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

finite element methodsHellinger-Reissner variational principlenon-elasticspecified stress problem

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Calculus of variations and optimal control; optimization (49-XX)

Cites Work

• Highly accurate symplectic element based on two variational principles
• A generalized variational principle for coupled thermoelasticity with finite displacement
• A stress approach model of moderately thick, homogeneous shells
• A mixed variational method for linear coupled thermoelastic analysis
• A simple and efficient Hellinger-Reissner type mixed finite element for nearly incompressible elasticity
• A family of virtual element methods for plane elasticity problems based on the Hellinger-Reissner principle
• A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems
• A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity
• Generalized Hellinger-Reissner Principle
• A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity

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