Representations of m-linear functions on tensor spaces: Duals and transpositions with applications in continuum mechanics

DOI10.1177/1081286512456199zbMath1365.74022OpenAlexW2124322282MaRDI QIDQ2875324

Sami Holopainen

Publication date: 14 August 2014

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286512456199

zbMATH Keywords

symmetrycontractionmetric spacetransformation rule

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Cites Work

• Unnamed Item
• On shear bands in ductile materials
• On the mathematical modelling of material behavior in continuum mechanics
• A study on rate-type constitutive equations and the existence of a free energy function
• On the application of dual variables in continuum mechanics
• On improved network models for rubber elasticity and their applications to orientation hardening in glassy polymers
• Convexity conditions and existence theorems in nonlinear elasticity
• Finite element analysis and constitutive modelling of anisotropic nonlinear hyperelastic bodies with convected frames
• Associative multiplicative elasto-plasticity: Formulation and aspects of the numerical implementation including stability analysis
• On spatial and material covariant balance laws in elasticity
• Total Lagrangian Reissner's geometrically exact beam element without singularities
• Comparison of two algorithms for the computation of fourth-order isotropic tensor functions
• On the Algebra of Two‐Point Tensors on Manifolds with Applications in Nonlinear Solid Mechanics
• Multilinear Algebra
• Constitutive Equations for the Back Stress in Amorphous Glassy Polymers

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