Bücher der Reihe Interaction of Mechanics and Mathematics

This book presents theories of deformable elastic strings and rods and their application to broad classes of problems. The second half of the book is devoted to rod theories, including Euler's theory of the elastica, Kirchhoff 's theory of an elastic rod, and a range of Cosserat rod theories.

This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics.

Introductory textbook introducing the concept of competition of entropy and energy with various examples. Thermodynamics textbook explaining the roles of entropy and energy as prime movers of nature.

The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks.

Energy Methods in Dynamics

This text presentsand studies the method of so -called noncommuting variations in VariationalCalculus.

This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.