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Title
Continuum mechanics with Eulerian formulations of constitutive equations / M.B. Rubin.
ISBN
9783030577766 (electronic bk.)
3030577767 (electronic bk.)
9783030577759
3030577759
Published
Cham : Springer, 2021.
Language
English
Description
1 online resource (284 pages)
Other Standard Identifiers
10.1007/978-3-030-57776-6 doi
Call Number
QA808.2
Dewey Decimal Classification
531/.7
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Description based on print version record.
Series
Solid mechanics and its applications ; v. 265.
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.
