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Titlebook: Continuum Mechanics with Eulerian Formulations of Constitutive Equations; M.B. Rubin Book 2021 Springer Nature Switzerland AG 2021 Continu

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书目名称Continuum Mechanics with Eulerian Formulations of Constitutive Equations
编辑M.B. Rubin
视频video
概述Focuses on Eulerian formulation of constitutive equations.Written by a leading expert in the field.Presents state-of-the-art findings
丛书名称Solid Mechanics and Its Applications
图书封面Titlebook: Continuum Mechanics with Eulerian Formulations of Constitutive Equations;  M.B. Rubin Book 2021 Springer Nature Switzerland AG 2021 Continu
描述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.
出版日期Book 2021
关键词Continuum mechanics; thermodynamics of continua; Eulerian formulation; inelasticity; plasticity; viscopla
版次1
doihttps://doi.org/10.1007/978-3-030-57776-6
isbn_softcover978-3-030-57778-0
isbn_ebook978-3-030-57776-6Series ISSN 0925-0042 Series E-ISSN 2214-7764
issn_series 0925-0042
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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Thermomechanical Theory,new thermal quantities and thermal constraints on material response are discussed. In addition, specific nonlinear constitutive equations are presented for a number of materials modeling: thermoelastic, thermoelastic–inelastic and porous responses. Also, constitutive equations for growth of thermoelastic–inelastic biological tissues are presented.
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Syed Attiqur Rehman,Zhe Chen,Muhammad Harisformation relations of specific tensors are developed. In addition, an Eulerian formulation of evolution equations for elastic deformations is proposed and strongly objective, robust numerical integration algorithms for these evolution equations are developed.
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