Stress–displacement stabilized finite element analysis of thin structures using solid-shell elements, Part I: On the need of interpolating the stresses

Aguirre, A.; Codina, R.; Baiges, J.

doi:10.1016/j.finel.2024.104168

Finite Elements in Analysis and Design

2024

DOI: 10.1016/j.finel.2024.104168

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Stress–displacement stabilized finite element analysis of thin structures using solid-shell elements, Part I: On the need of interpolating the stresses

A. Aguirre,

R. Codina,

J. Baiges

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2024

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Finite element approximation of stabilized mixed models in finite strain hyperelasticity involving displacements and stresses and/or pressure—An overview of alternatives

Codina,

Castañar,

Baiges

2024

Numerical Meth Engineering

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This paper presents mixed finite element formulations to approximate the hyperelasticity problem using as unknowns the displacements and either stresses or pressure or both. These mixed formulations require either finite element spaces for the unknowns that satisfy the proper inf‐sup conditions to guarantee stability or to employ stabilized finite element formulations that provide freedom for the choice of the interpolating spaces. The latter approach is followed in this work, using the Variational Multiscale concept to derive these formulations. Regarding the tackling of the geometry, we consider both infinitesimal and finite strain problems, considering for the latter both an updated Lagrangian and a total Lagrangian description of the governing equations. The combination of the different geometrical descriptions and the mixed formulations employed provides a good number of alternatives that are all reviewed in this paper.

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Finite element approximation of stabilized mixed models in finite strain hyperelasticity involving displacements and stresses and/or pressure—An overview of alternatives

Codina,

Castañar,

Baiges

2024

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

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Stress–displacement stabilized finite element analysis of thin structures using solid-shell elements, Part I: On the need of interpolating the stresses

Cited by 1 publication

References 86 publications

Finite element approximation of stabilized mixed models in finite strain hyperelasticity involving displacements and stresses and/or pressure—An overview of alternatives

Finite element approximation of stabilized mixed models in finite strain hyperelasticity involving displacements and stresses and/or pressure—An overview of alternatives

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