Search Results - "boundary element method"

Computational Acoustics

Table of Contents: “…Fundamental equations of acoustics -- Non-conforming finite elements for flexible discretization with applications to aeroacoustics -- Boundary element methods -- Direct aeroacoustic simulations based on high order discontinuous Galerkin schemes -- Algebraic solvers.…”
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Multi-scale Simulation of Composite Materials Results from the Project MuSiKo /

Table of Contents: “…Introduction -- Multi-scale Methods in Simulation - a Path to a Better Understanding of the Behaviour of Structures -- Microstructure Simulation for Short Fiber Reinforced Materials -- Parallel Inelastic Heterogeneous Multi-scale Simulations -- Fast Boundary Element Methods for Composite Materials -- Experimental Studies.…”
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Proceedings of the 1st International Conference on Numerical Modelling in Engineering Volume 2: Numerical Modelling in Mechanical and Materials Engineering, NME 2018, 28-29 August...

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Seismic Wave Propagation in Non-Homogeneous Elastic Media by Boundary Elements by Manolis, George D., Dineva, Petia S., Rangelov, Tsviatko V., Wuttke, Frank

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Thermal Stresses-Advanced Theory and Applications by Hetnarski, Richard B., Eslami, M. Reza

Table of Contents: “…Multiply Connected Regions -- 9 Constitutive Laws of Linear Thermoelasticity -- 10 Displacement Formulation of Thermoelasticity -- 11 Stress Formulation of Thermoelasticity -- 12 Two-Dimensional Thermoelasticity -- 13 Michell Conditions -- 14 Problems -- Chapter 2: Thermodynamics of Elastic Continuum -- 1 Introduction -- 2 Thermodynamics Definitions -- 3 First Law of Thermodynamics -- 4 Second Law of Thermodynamics -- 5 Variational Formulation of Thermodynamics -- 6 Thermodynamics of Elastic Continuum -- 7 General Theory of Thermoelasticity -- 8 Free Energy Function of Hookean Materials -- 9 Fourier's Law and Heat Conduction Equation -- 10 Generalized Thermoelasticity, Second Sound -- 11 Thermoelasticity without Energy Dissipation -- 12 A Unified Generalized Thermoelasticity -- 13 Uniqueness Theorem -- 14 Variational Principle of Thermoelasticity -- 15 Reciprocity Theorem -- 16 Initial and Boundary Conditions -- 17 Problems -- Chapter 3: Basic Problems of Thermoelasticity -- 1 Introduction -- 2 Temperature Distribution for Zero Thermal Stress -- 3 Analogy of Thermal Gradient with Body Forces -- 4 General Solution of Thermoelastic Problems -- 5 Solution of Two-Dimensional Navier Equations -- 6 General Solution in Cylindrical Coordinates -- 7 Solution of Problems in Spherical Coordinates -- 8 Problems -- Chapter 4: Heat Conduction Problems -- 1 Introduction -- 2 Problems in Rectangular Cartesian Coordinates -- 3 Problems in Cylindrical Coordinates -- 4 Problems in Spherical Coordinates -- 5 Problems -- Chapter 5: Thermal Stresses in Beams -- 1 Introduction -- 2 Thermal Stresses in Beams -- 3 Deflection Equation of Beams -- 4 Boundary Conditions -- 5 Shear Stress in a Beam -- 6 Beams of Rectangular Cross Section -- 7 Transient Stresses in Rectangular Beams -- 8 Beam with Internal Heat Generation -- 9 Bimetallic Beam -- 10 Functionally Graded Beams -- 11 Transient Stresses in FGM Beams -- 12 Thermal Stresses in Thin Curved Beams and Rings -- 13 Deflection of Thin Curved Beams and Rings -- 14 Problems -- Chapter 6: Disks, Cylinders, and Spheres 2591 Introduction -- 2 Cylinders with Radial Temperature Variation -- 3 Thermal Stresses in Disks -- 4 Thick Spheres -- 5 Thermal Stresses in a Rotating Disk -- 6 Non-axisymmetrically Heated Cylinders -- 7 Method of Complex Variables -- 8 Functionally Graded Thick Cylinders -- 9 Axisymmetric Stresses in FGM Cylinders -- 10 Transient Thermal Stresses in Thick Spheres -- 11 Functionally Graded Spheres -- 12 Problems -- Chapter 7: Thermal Expansion in Piping Systems -- 1 Introduction -- 2 Definition of the Elastic Center -- 3 Piping Systems in Two Dimensions -- 4 Piping Systems in Three Dimensions -- 5 Pipelines with Large Radius Elbows -- 6 Stiffness Method -- 7 RotationMatrix -- 8 Transformation Matrix -- 9 Flexibility Matrix of a Single Member -- 10 Flexibility Matrix of a Branch -- 11 Flexibility Matrix of a Straight Member -- 12 Flexibility Matrix of a Bend Member -- 13 Problems -- Chapter 8: Coupled and Generalized Thermoelasticity -- 1 Introduction -- 2 Governing Equations of Coupled Thermoelasticity -- 3 Coupled Thermoelasticity for Infinite Space -- 4 Variable Heat Source -- 5 One-Dimensional Coupled Problem -- 6 Propagation of Discontinuities -- 7 Half-Space Subjected to a Harmonic Temperature -- 8 Coupled Thermoelasticity of Thick Cylinders -- 9 Green-Naghdi Model of a Layer -- 10 Generalized Thermoelasticity of Layers -- 11 Generalized Thermoelasticity in Spheres and Cylinders -- 12 Problems -- Chapter 9: Finite and Boundary Element Methods -- 1 Introduction -- 2 Galerkin Finite Element -- 3 Functionally Graded Layers -- 4 Coupled Thermoelasticity of Thick Spheres -- 5 Generalized Thermoelasticity of FG Spheres -- 6 Generalized Thermoelasticity of FG Disk -- 7 HigherOrder Elements -- 8 Functionally Graded Beams -- 9 Thermally Nonlinear GeneralizedThermoelasticity -- 10 Boundary Element Formulation -- Chapter 10: Thermally Induced Vibrations -- 1 Introduction -- 2 Thermally Induced Vibrations of Isotropic Beams -- 3 Thermally Induced Vibration of FGM Beams -- 4 Thermally Induced Vibration of Shallow Arches -- Chapter 11: Creep Analysis -- 1 Introduction -- 2 Creep of Metals -- 3 Constitutive Equation of Uniaxial Creep -- 4 Creep Relaxation, Linear Rheological Models -- 5 Three-Dimensional Governing Equations -- 6 Creep Potential, General Theory of Creep -- 7 Stress Function for Creep Problems -- 8 Creep Linearization -- 9 Creep Relaxation of Axisymmetric Stresses -- 10 Creep Relaxation of Non-axisymmetric Stresses -- 11 Thermoelastic Creep Relaxation in Beams.12 Problems -- Subject Index.…”
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