This book focuses on the need for an Eulerian formulation of
constitutive equations. After introducing tensor analysis using
both index and direct notation, nonlinear kinematics of continua is
presented. The balance laws of the purely mechanical theory are
discussed along with restrictions on constitutive equations due to
superposed rigid body motion. The balance laws of the
thermomechanical theory are discussed and specific constitutive
equations are presented for: hyperelastic materials;
elastic-inelastic materials; thermoelastic-inelastic materials with
application to shock waves; thermoelastic-inelastic porous
materials; and thermoelastic-inelastic growing biological tissues.
General
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