Thermomechanics of solids and structures : physical mechanisms, continuum mechanics, and applications /

"Thermomechanics of Solids and Structures: Physical Mechanisms, Continuum Mechanics, and Applications covers kinematics, balance equations, the strict thermodynamic frameworks of thermoelasticity, thermoplasticity, creep covering constitutive equations, the physical mechanisms of deformation, a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: �Cana�ija, Marko (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam, Netherlands ; Cambridge, MA : Elsevier, [2023]
Colección:Elsevier Series on Plasticity of Materials
Temas:
Materials > Thermomechanical properties.
Solids > Thermomechanical properties.
Building materials > Thermomechanical properties.
Mat�eriaux > Propri�et�es thermom�ecaniques.
Solides > Propri�et�es thermom�ecaniques.
Construction > Mat�eriaux > Propri�et�es thermom�ecaniques.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover
  • Thermomechanics of Solids and Structures
  • Copyright
  • Contents
  • About the author
  • Preface
  • I Introduction to continuum mechanics
  • 1 Tensors
  • 1.1 Elementary concepts and notation
  • 1.2 Vector algebra
  • 1.2.1 Vector representation
  • 1.2.2 Algebraic operations on vectors
  • 1.2.3 Kronecker delta and Levi-Civita symbol
  • 1.3 Tensor algebra and other important properties and operations
  • 1.3.1 Basic algebraic operations on tensors
  • 1.3.2 Transpose of a tensor
  • 1.3.3 Symmetric and skew-symmetric tensors
  • 1.3.4 Inverse of a tensor
  • 1.3.5 Trace of a tensor
  • 1.3.6 Double contraction of tensors
  • 1.3.7 Determinant of a tensor
  • 1.3.8 Exponential of a second-order tensor
  • 1.3.9 Logarithm of a second-order tensor
  • 1.3.10 Deviatoric and spherical parts of a tensor
  • 1.3.11 Higher-order tensors
  • 1.3.12 Orthogonal tensors
  • 1.3.13 Transformation of tensor components due to change of orthonormal basis
  • 1.3.14 Eigenvalues and eigenvectors of a tensor
  • 1.3.15 Definiteness of a tensor
  • 1.3.16 Voigt notation
  • 1.4 Tensor analysis
  • 1.4.1 Differentiation of tensor-valued functions of a scalar variable
  • 1.4.2 Gradients of tensor fields
  • 1.4.2.1 Scalar fields
  • 1.4.2.2 Vector fields
  • 1.4.2.3 Second-order tensor fields
  • 1.4.3 Differentiation of functions of tensors
  • 1.4.4 Divergence theorem
  • 2 Kinematics of deformation
  • 2.1 Body, motion, configurations, and displacement
  • 2.2 Velocity
  • 2.3 Acceleration
  • 2.4 Deformation gradient and its determinant
  • 2.4.1 Changes of volume and surface
  • 2.4.2 Material and spatial velocity gradients
  • 2.5 Polar decomposition of the deformation gradient
  • 2.6 Green-Lagrange, Euler-Almansi, and infinitesimal strain tensors
  • 2.6.1 Strain tensor rates
  • 2.7 Reynolds' transport theorem
  • 3 Stress tensors, balance laws, and variational principles
  • 3.1 Forces and stress tensors
  • 3.1.1 External forces
  • 3.1.2 Cauchy stress tensor
  • 3.1.3 Other stress tensors
  • 3.2 Balance laws
  • 3.2.1 Balance of mass
  • 3.2.2 Balance of linear momentum
  • 3.2.3 Balance of angular momentum
  • 3.2.4 Balance of energy
  • 3.2.5 Second law of thermodynamics
  • 3.2.6 Constitutive relations
  • 3.2.6.1 Specific heat capacity
  • 3.3 Fundamental variational principles in thermomechanics
  • 3.3.1 Principle of virtual work
  • 3.3.2 Principle of minimum total potential energy
  • 3.3.3 Principle of virtual thermal work
  • II Thermomechanics of solids
  • 4 Thermoelasticity of solids
  • 4.1 Theoretical and experimental observations
  • 4.1.1 General remarks about thermoelasticity of solids and structures
  • 4.1.2 Elasticity and temperature
  • 4.1.3 Thermoelastic or Gough-Joule effect
  • 4.1.4 Thermoelastic material properties and temperature
  • 4.1.4.1 Elastic properties
  • 4.1.4.2 Coefficient of thermal expansion
  • 4.1.4.3 Specific heat capacity
  • 4.1.4.4 Thermal conductivity
  • 4.2 Constitutive modeling
  • 4.2.1 Small strain thermoelasticity

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