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. 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.