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The Integral Equations of the Theory of Elasticity

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概要 The book is devoted to the methods and results of the integral equations theory for elasticity problems. It consists of two parts and appendix. The first part contains a survey of mathematical topics ...necessary for understanding the main aspects of this course.The mathematical background is presented within the first part in detail. The second part deals with the most important results in the theory of boundary integral equations. It also discusses some new aspects of this theory which have been suggested by the authors, including the following problems: the theory of elasticity for an anisotropic medium, new type of integral equations (Pobedria's type), contact problems, fracture mechanics and Cosserat spectrum. The applications in fracture mechanics go well beyond merely illustrating the methods: they yield new results in some classical problems. This book is of interest to applied mechanicians, engineers, mathematicians and students interested in boundary element method and its applications.続きを見る
目次 Integral Equations
General Results on Linear Integral Equations
One-Dimensional Singular Integral Equations
Two-Dimensional Singular Integral Equations
Approximate Solution of Integral Equations
Problems of the Theory of Elasticity and Cracks Mechanics
The Integral Equations of Classical Two-Dimensional Problems
Potential Theory for Basic Three-Dimensional Problems
The Contact Problems of the Theory of Elasticity
Problems of the Theory of Cracks.
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登録日 2020.06.27
更新日 2020.06.28