Analysis of Cracks in Solids (Advances in Fracture Mechanics Vol 6)

This book takes a fresh look at the crack problem and demonstrates new methods of studying the problem, as well as proposes new models for cracks in elastic and nonelastic bodies satisfying physically suitable nonpenetration conditions between crack faces. The authors consider two- and three-dimensional bodies, plates and shells with cracks, establish properties of solutions, and analyze various constitutive laws: elastic, viscoelastic, elastoplastic

The book demonstrates new approaches to the crack problem in solids describing a mutual nonpenetration between crack faces. Two- and three-dimensional bodies, plates and shells with cracks are considered. Properties of solutions are established: existence of solutions, regularity up to the crack faces, convergence of solutions as parameters of a system are varying, etc. The authors analyze different constitutive laws: elastic, viscoelastic, elastoplastic.
The monograph covers the following topics:

• Properties of solutions in contact problems for elastic plates and shells having cracks.
• Analysis of crack shape variations in solids
• Existence of solutions for elastoplastic bodies with cracks
• Iteration schemes and approximate methods of solving boundary value problems for solids with cracks.

The book takes a fresh look at the crack problem and demonstrates new methods of studying the problem, as well as proposes new models for cracks in elastic and nonelastic bodies satisfying physically suitable nonpenetration conditions between crack faces.

Signorini type restrictions at the crack faces, which do not allow the opposite crack faces to penetrate each other, are considered. The restrictions are written as inequalities for the displacement vector considered at the surfaces corresponding to the crack faces.

Booknews

Khludnev and Kovtunenko (Russian Academy of Sciences) propose models for cracks in elastic and nonelastic bodies satisfying physically suitable non-penetration conditions between crack surfaces. Two- and three-dimensional bodies, plates, and shells with cracks are considered. Designed for use by postgraduate students, scientists, and engineers, the book covers the following topics: properties of solutions in contact problems for elastic plates and shells having cracks; analysis of crack shape variations in solids; existence of solutions for elastoplastic bodies with cracks; and iteration schemes and approximate methods of solving boundary value problems for solids with cracks. Distributed by Computational Mechanics, Inc. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Presenting approaches to the study of crack problems in solids, this volume also proposes new models for cracks in elastic and nonelastic bodies satisfying physically suitable nonpenetration conditions between crack surfaces.