Mixed Boundary Problems in Solid Mechanics

The book covers a wide range of subjects and techniques related to mixed boundary problems of elasticity from basic concepts to special techniques that are unlikely to appear in traditional university graduate courses. This book may also be of interest to industrial researchers who encounter defects such as cracks and inclusions of different materials in mechanisms under different localization and type of loading. So the topics present the application of mathematical mechanics of solid bodies notably in elasticity, showing the interconnection of elasticity and temperature that would normally treated independently. Theoretical and experimental results are expected to be useful for researchers investigating a wide range of materials including metals, composites, ceramics, polymers, biomaterials and nanomaterials under different mechanical and temperature loading. The aim of the book is to introduce an interdisciplinary audience to a variety of stress state phenomena occurring in elasticity near defects and edges of the bodies.

The book is aimed at researchers, primarily but not exclusively graduate students, postdoctoral researchers, specialists from Aerospace and Civil Engineering, Materials Science, and Engineering Mechanics and should naturally also be of interest to specialists of Physics and Applied Mathematics.

Covers a wide range of topics and techniques that are unlikely to appear in traditional university graduate courses Includes technics of Green's matrix-function construction and application for differential equation systems solving Provides analytical solving method of elasticity mixed problems using integral transforms of equilibrium equations

Autorentext
Prof. Natalya Vaysfeld was formerly a full professor of mathematical physics at the Odesa Mechnikov National University where she taught courses on mathematical physics, mechanics, modelling of engineering problems, thermoselasticity, fracture mechanics. Her research work has been mainly concerned with the development of the solving analytical methods for solid mechanics problems. She has published more than 80 papers in international journals. Now she works as Senior Lecturer at King's College London. Dr. Zinaida Zhuravlova is associate professor at Department of Mathematical Physics at Odesa Mechnikov National University. She teaches course of program tools for scientific learning, special courses of integral transform method and solving methods for boundary valued problems with discontinuities. She has published more than 20 papers in international journals.

Inhalt

1 Mixed boundary valued problems of solid mechanics.- 2 The method of construction of solutions for the mixed elasticity problems for a semi-infinite strip.- 3 The mixed problems of elasticity for a semi-strip.- 4 the problems of uncoupled thermoelasticity for the semi-strip.- 5 The stress concentration problems for the semi-strip with a transverse crack.- Appendix A: Step-by-step integration of the lame's equation by the variable y.- Appendix B: The calculation of the elements of green matrix.- Appendix C: The finding of the coefficients.- Appendix D: The summing up of the weakly-convergent parts of the integrals.