Types of Physical Nonlinearity in the Theory of Constitutive Relations and the Generalized Poynting Effect

DOI10.1007/978-3-030-13307-8_10zbMath1425.74023OpenAlexW2921131316MaRDI QIDQ4972573

D. V. Georgievskii

Publication date: 25 November 2019

Published in: Advanced Structured Materials (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-13307-8_10

zbMATH Keywords

strainstressinvariantscalar potentialconstitutive relationPoynting effectmaterial functionestablishing experimenttensor nonlinearity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (1)

Properties of operator constitutive relations in mechanics of deformable solid

Cites Work

• Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients
• Second-order effect of an elastic circular shaft during torsion
• Generalized Poynting effects in predeformed prismatic bars
• Establishing experiments in tensor nonlinear theories of continuum mechanics
• Identification of Two-Dimensional Pantographic Structures with a Linear D4 Orthotropic Second Gradient Elastic Model Accounting for External Bulk Double Forces
• A discrete‐mechanical approach for computation of three‐dimensional flows
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