Nonlinear Solid Mechanics: A Continuum Approach for Engineering by Gerhard A. Holzapfel offers complete approach directed in direction of computational mechanics to cover unique combination of topics at present unavailable in every other text. It contains important information on ‘variational rules’ constituting the cornerstone of the finite element method.
It is utilized in engineering practice. The book opens with a fundamental chapter on vectors and tensors. The following chapters are based on nonlinear continuum mechanics – an inevitable prerequisite for computational mechanicians. Also included are an up-to-date checklist of almost 300 references and a comprehensive index, helpful examples and exercises for the scholar, selected subjects of statistical and continuum thermodynamics.
The book highlights constitutive features to explain the habits of frictional materials similar to geological media. On the basis of this theory, including large pressure and inelastic behaviors, bifurcation and instability are developed with a special give attention to the modeling of the emergence of local instabilities corresponding to shear band formation and flutter of a continuum.
In addition, continuum discipline theory (applied to a consultant pattern of hyperelastic materials currently utilized in nonlinear computations corresponding to incompressible and compressible materials) is presented, as are transversely isotropic materials, composite materials, viscoelastic materials and hyperelastic materials with isotropic damage. Another central chapter is devoted to the thermodynamics of materials, covering both finite thermoelasticity and finite thermoviscoelasticity.
Furthermore, the principle of virtual work (in each the material and spatial descriptions) is compared with two and three-field variational rules particularly designed to seize kinematic constraints reminiscent of incompressibility. The entire options mixed result in an important text for remaining 12 months undergraduates, postgraduates and researchers in mechanical, civil and aerospace engineering and applied maths and physics.
Nonlinear Solid Mechanics: A Continuum Approach for Engineering [Paperback]
Gerhard A. Holzapfel
Wiley; 1st edition (March 23, 2000)
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