Continuum mechanics with Eulerian formulations of constitutive equations

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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.
Original languageEnglish
Place of PublicationCham, Switzerland
Number of pages277
ISBN (Electronic)978-3-030-57776-6
StatePublished - 2021

Publication series

NameSolid Mechanics and Its Applications
ISSN (Print)0925-0042
ISSN (Electronic)2214-7764


  • Continuum mechanics


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