The Finite Element Method: Its Basis and FundamentalsThe Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: - Weak forms - Variational forms - Multi-dimensional field problems - Automatic mesh generation - Plate bending and shells - Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. - A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development - Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience - Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms |
Contents
Multidomain Mixed Approximations | 361 |
Lagrangian and penalty methods | 369 |
SemiDiscretization | 379 |
bending | 407 |
459 | 484 |
Errors Recovery Processes and Error Estimates | 493 |
Adaptive Finite Element Refinement | 545 |
References | 570 |
Shells as a Special Case of ThreeDimensional | 641 |
Appendix A | 647 |
Appendix B | 656 |
Appendix D | 671 |
Appendix E | 681 |
Appendix H | 689 |
| 697 | |
| 705 | |
Other editions - View all
The Finite Element Method: Its Basis and Fundamentals O. C. Zienkiewicz,R. L. Taylor No preview available - 2013 |
The Finite Element Method: Its Basis and Fundamentals O. C. Zienkiewicz,R. L. Taylor,J. Z. Zhu,Robert L. Taylor No preview available - 2013 |
Common terms and phrases
axisymmetric boundary conditions Chapter components compute consider constant convergence coordinates cubic defined derivatives deviatoric differential equation discrete displacement domain edge eight-node elasticity problems energy equilibrium error estimator exact solution example FIGURE finite element analysis finite element method finite element solution formulation Gaussian quadrature given GNU Octave heat conduction higher order incompressible interpolation irreducible form isoparametric Jacobian Lagrange multiplier Lagrangian linear load matrix Mech mesh Methods Appl Methods Eng mixed nine-node nodal nodes numerical integration O.C. Zienkiewicz obtained one-dimensional parameters patch test plane strain plane stress points polynomial pressure procedure quadratic quadrature quadrilateral quadrilateral elements quasi-harmonic R.L. Taylor reduced integration satisfied Section serendipity shape functions shear shell shown in Fig simple singularity solved specified stability stiffness superconvergent thick thin plate three-dimensional three-node triangle triangular element two-dimensional values variables variational principle vector weak form zero дх ду


