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Continuum Mechanics with Eulerian Formulations of Constitutive Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Continuum Mechanics with Eulerian Formulations of Constitutive Equations/ by M.B. Rubin.
作者:	Rubin, M.B.
面頁冊數:	XIII, 277 p. 25 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Classical Mechanics. -
電子資源:	https://doi.org/10.1007/978-3-030-57776-6
ISBN:	9783030577766

Continuum Mechanics with Eulerian Formulations of Constitutive Equations
Rubin, M.B.

Continuum Mechanics with Eulerian Formulations of Constitutive Equations[electronic resource] /by M.B. Rubin. - 1st ed. 2021. - XIII, 277 p. 25 illus.online resource. - Solid Mechanics and Its Applications,2652214-7764 ;. - Solid Mechanics and Its Applications,215.

Introduction -- Basic tensor analysis -- Kinematics -- Balance laws for the purely mechanical theory -- Purely mechanical constitutive equations -- Thermomechanical Theory -- Eigenvalues, Eigenvectors, and Principal Invariants of a Tensor -- Consequences of Continuity -- Lagrange Multipliers -- Stationary Values of Normal And Shear Stresses -- Isotropic Tensors -- An introduction to tensors with respect to curvilinear coordinates -- Summary of tensor operations in specific coordinate systems.

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.

ISBN: 9783030577766

Standard No.: 10.1007/978-3-030-57776-6doiSubjects--Topical Terms:

1140387
Classical Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 531

Continuum Mechanics with Eulerian Formulations of Constitutive Equations
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