Continuum Mechanics with Eulerian Formulations of Constitutive Equations
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 consti...
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2021, 2021
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| Edition: | 1st ed. 2021 |
| Series: | Solid Mechanics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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