Nonlinear equations of the dynamics of an elastic micropolar medium

DOI10.1016/0021-8928(84)90135-7zbMath0593.73019OpenAlexW2012980034MaRDI QIDQ1076539

V. I. Kondaurov

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90135-7

zbMATH Keywords

potentialdynamicsstrainCauchy problemtransport equationcompatibility conditionsestimatehyperbolicityvelocity fieldsgrowth of solutionscomplete set of equationsalong bicharacteristiccondition of convexity of elasticelastic micropolar mediumrate of change of weak discontinuityreduced to symmetric formsystem of local conservation lawsvelocities of propagation of characteristic surfaces

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Polar materials (74A35) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (1)

Mathematical modeling of inhomogeneous electric field impact on a liquid crystal layer

Cites Work

• Theories of elasticity with couple-stress
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