This book describes the theoretical foundations of  inelasticity, its numerical formulation and implementation. The  subject matter described herein constitutes a representative sample of  state-of-the- art methodology currently used in inelastic  calculations. Among the numerous topics covered are small deformation  plasticity and viscoplasticity, convex optimization theory,  integration algorithms for the constitutive equation of plasticity and  viscoplasticity, the variational setting of boundary value problems  and discretization by finite element methods. Also addressed are the  generalization of the theory to non-smooth yield surface, mathematical  numerical analysis issues of general return mapping algorithms, the  generalization to finite-strain inelasticity theory, objective  integration algorithms for rate constitutive equations, the theory of  hyperelastic-based plasticity models and small and large deformation  viscoelasticity. Computational Inelasticity will be of great interest  to researchers and graduate students in various branches of  engineering, especially civil, aeronautical and mechanical, and  applied mathematics.

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