Applied Solid MechanicsThe world around us, natural or man-made, is built and held together by solid materials. Understanding their behaviour is the task of solid mechanics, which is in turn applied to many areas, from earthquake mechanics to industry, construction to biomechanics. The variety of materials (metals, rocks, glasses, sand, flesh and bone) and their properties (porosity, viscosity, elasticity, plasticity) is reflected by the concepts and techniques needed to understand them: a rich mixture of mathematics, physics and experiment. These are all combined in this unique book, based on years of experience in research and teaching. Starting from the simplest situations, models of increasing sophistication are derived and applied. The emphasis is on problem-solving and building intuition, rather than a technical presentation of theory. The text is complemented by over 100 carefully-chosen exercises, making this an ideal companion for students taking advanced courses, or those undertaking research in this or related disciplines. |
Contents
1 Modelling solids | 1 |
2 Linear elastostatics | 28 |
3 Linear elastodynamics | 103 |
4 Approximate theories | 150 |
5 Nonlinear elasticity | 215 |
6 Asymptotic analysis | 245 |
7 Fracture and contact | 287 |
8 Plasticity | 328 |
9 More general theories | 378 |
Epilogue | 426 |
Appendix Orthogonal curvilinear coordinates | 428 |
| 440 | |
| 442 | |
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Common terms and phrases
Airy stress function antiplane applied arbitrary assume asymptotic beam behaviour bending stiffness biharmonic equation body force boundary conditions Chapter configuration consider constant constitutive relation corresponding cross-section cylindrical dashpot deduce defined definition deformation derive dimensionless displacement field example find first fixed flow fluid generalisation given Hence illustrated in Figure in-plane infinite integral isotropic Lagrangian coordinates Laplace’s equation linear elasticity material matrix Mode momentum equation Navier equation nonlinear nonzero normal obtain orthogonal orthogonal matrix parameter partial differential equation plane strain plastic plate point force polar coordinates problem reflection region right-hand side S-waves satisfies scalar Section shear stress shell shown in Exercise shown in Figure simply solid mechanics solution solve strain energy strain tensor stress components stress field stress tensor string sufficiently surface symmetric tension theory torsional traction transverse displacement two-dimensional variables vector viscoelastic wave equation yield zero