Computational Elasticity: Theory of Elasticity and Finite and Boundary Element Methods |
Contents
1 | 3 |
2 | 11 |
4 | 19 |
5 | 27 |
1 | 33 |
Principal Stresses and Principal Planes | 42 |
6 | 54 |
The Constitutive Relations | 67 |
Finite Element Method in a Nutshell | 249 |
Isoparametric Formulation | 301 |
Advanced Topics in Finite Element Analysis | 347 |
Boundary Element Analysis of Elastostatic Problems | 366 |
Boundary Elements Interpolation Functions | 391 |
Computer Codes For TwoDimensional Boundary | 412 |
Coupling Finite Element and Boundary | 467 |
Appendix A Interpolation Polynomials | 477 |
Cartesian Tensors and Equations of Elasticity | 78 |
TwoDimensional Problems of Elasticity | 115 |
Torsion of Prismatic Bars | 168 |
Energy Theorems | 203 |
Introduction to Computational Elasticity | 229 |
Appendix B Numerical Integration | 486 |
Fundamental Solutions | 493 |
| 501 | |
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Common terms and phrases
axes beam body forces boundary conditions boundary element method boundary integral cartesian tensors chapter coefficients Consider const dVector constant corresponding cross-section degrees of freedom denoted direction discretisation displacement field displacement vector domain double elastic body elastostatic problems elemConn equations of equilibrium example Figure finite element analysis finite element method fout Gauss given by Eq Hence i<=no_row input int i=1 interior points interpolation polynomials isoparametric linear load vector membrane mesh N/mm² N₁ N₂ nElems nNodes node numbering normal stress notation obtained order tensor plane strain plane stress Poisson's ratio quadratic represents respect Section shear strain shear stress shown in Fig stiffness matrix strain components strain tensor strain-displacement relations strength of materials stress components stress field stress function stress tensor three-dimensional tion torque traction boundary conditions values written zero ди дх ду