Finite Elasticity Theory

David J. Steigmann is Professor of Mechanical Engineering at University of California at Berkeley. He has published extensively within his research interests, including finite elasticity, thin shells, the plasticity theory, and tensile structures. He sits on the editorial boards of ZAMP, Journal of Elasticity, Journal of the Mechanics of Materials and Structures, among others.

• 1: Concept of an elastic material2: Observers and invariance3: Mechanical power and hyperelasticity4: Material symmetry5: Fiber symmetry6: Stress response in the presence of local constraints on the deformation7: Some boundary-value problems for uniform isotropic incompressible materials8: Some examples involving uniform, compressible isotropic materials9: Material stability, strong ellipticity and smoothness of equilibria10: Membrane theory11: Stability and the energy criterion12: Linearized theory, the second variation and bifurcation of equilibria13: Elements of plasticity theory

There are many textbooks and treatises on finite elasticity, but Finite Elasticity Theory by David J. Steigmann is special. First, it is at the same time concise and deep, without any dogmatism. Second, it achieves the difficult balance between scientific rigor and clear presentation. Moreover, and probably the most important aspect of this book, there is a subtle interplay between mathematical and physical rigor, two aspects that are rarely seen together in such works.