Autor(en)
Hsu, Tai-Ran
Titel
The Finite Element Method in Thermomechanics
Ort / Verlag
Dordrecht : Springer Netherlands
Erscheinungsjahr
1986
Links zum Volltext
Beschreibungen
1 Fundamentals of the Finite Element Method -- 1.1 Introduction -- 1.2 The concept of discretization -- 1.3 Steps in the finite element method -- References -- 2 Finite Element Analysis in Heat Conduction -- 2.1 Introduction -- 2.2 Review of basic formulations -- 2.3 Finite element formulation of transient heat conduction in solids -- 2.4 Transient heat conduction in axisymmetric solids -- 2.5 Computation of the thermal conductivity matrix -- 2.6 Computation of the heat capacitance matrix -- 2.7 Computation of thermal force matrix -- 2.8 Transient heat conduction in the time domain -- 2.9 Boundary conditions 45 2.10 Solution procedures for axisymmetric structures -- References -- 3 Thermoelastic-Plastic Stress Analysis -- 3.1 Introduction -- 3.2 Mechanical behavior of materials -- 3.3 Review of basic formulations in linear elasticity theory -- 3.4 Basic formulations in nonlinear elasticity -- 3.5 Elements of plasticity theory -- 3.6 Strain hardening --^
3.7 Plastic potential (yield) function -- 3.8 Prandtl-Reuss relation -- 3.9 Derivation of plastic stress-strain relations -- 3.10 Constitutive equations for thermoelastic-plastic stress analysis -- 3.11 Derivation of the [Cep] matrix -- 3.12 Determination of material stiffness (H�́�) -- 3.13 Thermoelastic-plastic stress analysis with kinematic hardening rule -- 3.14 Finite element formulation of thermoelastic-plastic stress analysis -- 3.15 Finite element formulation for the base TEPSAC code -- 3.16 Solution procedure for the base TEPSA code -- References -- 4 Creep Deformation of Solids by Finite Element Analysis -- 4.1 Introduction -- 4.2 Theoretical background -- 4.3 Constitutive equations for thermoelastic-plastic creep stress analysis -- 4.4 Finite element formulation of thermoelastic-plastic creep stress analysis -- 4.5 Integration schemes -- 4.6 Solution algorithm -- 4.7 Code verification -- 4.8 Closing remarks -- References --^
5 Elastic-Plastic stress analysis with Fourier Series -- 5.1 Introduction -- 5.2 Element equation for elastic axisymmetric solids subject to nonaxisymmetric loadings -- 5.3 Stiffness matrix for elastic solids subject to nonaxisymmetric loadings -- 5.4 Elastic-plastic stress analysis of axisymmetric solids subject to nonaxisymmetric loadings -- 5.5 Derivation of element equation -- 5.6 Mode mixing stiffness equations -- 5.7 Circumferential integration scheme -- 5.8 Numerical example -- 5.9 Discussion of the numerical example -- 5.10 Summary -- References -- 6 Elastodynamic stress analysis with Thermal Effects -- 6.1 Introduction -- 6.2 Theoretical background -- 6.3 Hamilton�́�s variational principle -- 6.4 Finite element formulation -- 6.5 Direct time integration scheme -- 6.6 Solution algorithm -- 6.7 Numerical illustration -- References -- 7 Thermofracture Mechanics -- 1: Review of fracture mechanics concept -- 2: Thermoelastic-plastic fracture analysis page --^
3: Thermoelastic-plastic creep fracture analysis -- References -- 8 Thermoelastic-Plastic Stress Analysis By Finite Strain Theory -- 8.1 Introduction -- 8.2 Lagrangian and Eulerian coordinate systems -- 8.3 Green and Almansi strain tensors -- 8.4 Lagrangian and Kirchhoff stress tensors -- 8.5 Equilibrium in the large -- 8.6 Equilibrium in the small -- 8.7 The boundary conditions -- 8.8 The constitutive equation -- 8.9 Equations of equilibrium by the principle of virtual work -- 8.10 Finite element formulation -- 8.11 Stiffness matrix [K2] -- 8.12 Stiffness matrix [K3] -- 8.13 Constitutive equations for thermoelastic-plastic stress analysis -- 8.14 The finite element formulation -- 8.15 The computer program -- 8.16 Numerical examples -- References -- 9 Coupled Thermoelastic-Plastic Stress Analysis -- 9.1 Introduction -- 9.2 The energy balance concept -- 9.3 Derivation of the coupled heat conduction equation -- 9.4 Coupled thermoelastic-plastic stress analysis --^
9.5 Finite element formulation -- 9.6 The y matrix -- 9.7 The thermal moduli matrix ? -- 9.8 The internal dissipation factor -- 9.9 Computation algorithm -- 9.10 Numerical illustration -- 9.11 Concluding remarks -- References -- 10 Application of Thermomechanical Analyses in Industry -- 10.1 Introduction -- 10.2 Thermal analysis involving phase change -- 10.3 Thermoelastic-plastic stress analysis -- 10.4 Thermoelastic-plastic stress analysis by TEPSAC code -- 10.5 Simulation of thermomechanical behavior of nuclear reactor fuel elements -- References -- Appendix 1 Area coordinate system for triangular simplex elements -- Appendix 2 Numerical illustration on the implementation of thermal boundary conditions -- Appendix 3 Integrands of the mode-mixing stiffness matrix -- Appendix 4 User�́�s guide for TEPSAC -- Appendix 5 Listing of TEPSAC code -- Author Index
Format
XX, 392 p : online resource
Sprache(n)
Englisch
Identifikator(en)
ISBN: 9789401159982
Links zum Inhalt
Schlagwörter
Science (General), Science, general
Systemstelle
Signatur
Die Universität der Informationsgesellschaft