An Introduction to ThermomechanicsNorth-Holland Series in Applied Mathematics and Mechanics, Volume 21: An Introduction to Thermomechanics, Second Revised Edition focuses on the methodologies, reactions, and processes involved in thermomechanics, including kinematics, thermodynamics, elasticity, and tensors. The book first offers information on kinematics, kinetics, and thermodynamics. Discussions focus on field theory, state variables, momentum theorems, state of stress, energy theorem, state of motion, small displacements, and material derivatives. The manuscript then ponders on material properties, ideal liquids, linear elasticity, and inviscid gases. The text elaborates on viscous fluids, plastic bodies, viscoelasticity, and general tensors. Topics include tensor algebra, mechanical constitutive relations, thermomechanical extension, hereditary integrals, perfectly plastic bodies, turbulence, and basic equations. The book then reviews viscoelastic bodies, plasticity, non-Newtonian liquids, and maximal dissipation. The publication is a valuable reference for researchers wanting to dig deeper into thermomechanics. |
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according arbitrary assume axis body boundary conditions cartesian coordinate system Chapter coefficients components constant constitutive equation continuum continuum mechanics coordinate system corresponding curves d₁ dashpot defined deformation rate denoted deviatoric differential equation displacements dissipation function dissipation surfaces dissipative forces dissipative stress E₁ elastic element entropy production fluid follows Fourier's law free energy fundamental law given gradient heat flow hence Hooke's law incompressible integral internal energy internal forces internal parameters isotropic liquid mechanics model of Fig motion nonlinear obtain orthogonality condition plane plastic potential power of dissipation Problem rate of entropy reduces referred represents respect restrict ourselves scalar shear stress simple shear strain tensor stress tensor symmetry t₁ temperature theorem theory thermal equation thermodynamics v₁ vector velocity field viscoelastic viscosity x₁ yield locus yield surface zero дак მთ