Extensions of Kronecker product algebra with applications in continuum and computational mechanics

DOI10.1007/BF01179259zbMath0938.74008MaRDI QIDQ1806319

Yanyan Li

Publication date: 1 November 1999

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

dynamicscontinuum mechanicstangent stiffness matrixcomputational mechanicshyperelastic materialsfinite strain plasticityasymptotic stability criteriontangent modulus tensordamped linear systemdifferential of isotropic function of second-order tensorKronecker operations on block matricesKronecker products of tensorstangent compliance tensor

Mathematics Subject Classification ID

Multilinear algebra, tensor calculus (15A69) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (3)

Stresses conjugate to the Jaumann rate of Eulerian strain measures ⋮ Large deformation theory of coupled thermoplasticity including kinematic hardening ⋮ Explicit boundary element method for nonlinear solid mechanics using domain integral reduction

Uses Software

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Cites Work

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• On the tangent modulus tensor in hyperelasticity
• Tangent modulus tensor in plasticity under finite strain
• Finite element method for thermomechanical response of near-incompressible elastomers
• Incremental finite element equations for thermomechanical response of elastomers: Effect of boundary conditions including contact
• Theory and thermohyperelasticity for near-incompressible elastomers
• Tangent modulus matrix for finite element analysis of hyperelastic materials

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