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Author : Michael Hohn
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.:/5 (48 download)
Download or read book On the Solution of Mixed Boundary Value Problems in Elasticity written by Michael Hohn and published by . This book was released on 2001 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Hans Bode
Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.:/5 (334 download)
Download or read book The Solution of Mixed Boundary Value Problems in the Theory of Elasticity by a Boundary Integral Equation Technique written by John Hans Bode and published by . This book was released on 1976 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin J. Knops
Publisher : Springer Science & Business Media
ISBN 13 : 3642651011
Total Pages : 140 pages
Book Rating : 4.6/5 (426 download)
Download or read book Uniqueness Theorems in Linear Elasticity written by Robin J. Knops and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical result for uniqueness in elasticity theory is due to Kirchhoff. It states that the standard mixed boundary value problem for a homogeneous isotropic linear elastic material in equilibrium and occupying a bounded three-dimensional region of space possesses at most one solution in the classical sense, provided the Lame and shear moduli, A and J1 respectively, obey the inequalities (3 A + 2 J1) > 0 and J1>O. In linear elastodynamics the analogous result, due to Neumann, is that the initial-mixed boundary value problem possesses at most one solution provided the elastic moduli satisfy the same set of inequalities as in Kirchhoffs theorem. Most standard textbooks on the linear theory of elasticity mention only these two classical criteria for uniqueness and neglect altogether the abundant literature which has appeared since the original publications of Kirchhoff. To remedy this deficiency it seems appropriate to attempt a coherent description ofthe various contributions made to the study of uniqueness in elasticity theory in the hope that such an exposition will provide a convenient access to the literature while at the same time indicating what progress has been made and what problems still await solution. Naturally, the continuing announcement of new results thwarts any attempt to provide a complete assessment. Apart from linear elasticity theory itself, there are several other areas where elastic uniqueness is significant.
Author : Ram P. Srivastav
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (227 download)
Download or read book Mixed Boundary Value Problems of Elasticity written by Ram P. Srivastav and published by . This book was released on 1979 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central themes of the project was the theoretical (as opposed to experimental) study of the fracture of brittle elastic solids. The purely numerical approach based upon the direct solution of the partial differential equations using the adaptations of the 3-d Hemp Code led to the initiation of a multipurposecode for the simulation of wave propagation in anisotropic media. The boundary value problems for which, in principle, a solution with a desired degree of accuracy can be calculated or computed were considered. The results of these studies are summarized in this report. (Author).
Author : John Paul Gyekenyesi
Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.3/5 (129 download)
Download or read book Solution of Some Mixed Boundary Value Problems of Three-dimensional Elasticity by the Method of Lines written by John Paul Gyekenyesi and published by . This book was released on 1972 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frederick Chong
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (285 download)
Download or read book Solutions by Dual Integral Equations of Mixed Boundary Value Problems in Elasticity ... written by Frederick Chong and published by . This book was released on 1952 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Urvashi Patel
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.:/5 (499 download)
Download or read book Some Mixed Boundary Value Problems in Elasticity written by Urvashi Patel and published by . This book was released on 1971 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ian Naismith Sneddon
Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (2 download)
Download or read book Lectures on Mixed Boundary Value Problems in the Linear Theory of Elasticity written by Ian Naismith Sneddon and published by . This book was released on 1979 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexandria Oakes
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.:/5 (154 download)
Download or read book Solutions in the Near and Far Zone for Dynamic Pure and Mixed Boundary Value Problems in Elasticity written by Alexandria Oakes and published by . This book was released on 1986 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ram Prasad Srivastav
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (31 download)
Download or read book Mixed Boundary Value Problems of Elasticity written by Ram Prasad Srivastav and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Athias, Y. Claude
Publisher : 1972.
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (15 download)
Download or read book Some Mixed Boundary Value Problems in Elasticity written by Athias, Y. Claude and published by 1972.. This book was released on 1972 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Natalya Vaysfeld
Publisher : Springer Nature
ISBN 13 : 3031378261
Total Pages : 173 pages
Book Rating : 4.0/5 (313 download)
Download or read book Mixed Boundary Problems in Solid Mechanics written by Natalya Vaysfeld and published by Springer Nature. This book was released on 2023-09-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1420010948
Total Pages : 486 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mixed Boundary Value Problems written by Dean G. Duffy and published by CRC Press. This book was released on 2008-03-26 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for Solving Mixed Boundary Value Problems An up-to-date treatment of the subject, Mixed Boundary Value Problems focuses on boundary value problems when the boundary condition changes along a particular boundary. The book often employs numerical methods to solve mixed boundary value problems and the associated integral equat
Author : V.D. Kupradze
Publisher : Elsevier
ISBN 13 : 0080984630
Total Pages : 951 pages
Book Rating : 4.0/5 (89 download)
Download or read book Three-Dimensional Problems of Elasticity and Thermoelasticity written by V.D. Kupradze and published by Elsevier. This book was released on 2012-12-02 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Series in Applied Mathematics and Mechanics, Volume 25: Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity focuses on the theory of three-dimensional problems, including oscillation theory, boundary value problems, and integral equations. The publication first tackles basic concepts and axiomatization and basic singular solutions. Discussions focus on fundamental solutions of thermoelasticity, fundamental solutions of the couple-stress theory, strain energy and Hooke’s law in the couple-stress theory, and basic equations in terms of stress components. The manuscript then examines uniqueness theorems and singular integrals and integral equations. The book ponders on the potential theory and boundary value problems of elastic equilibrium and steady elastic oscillations. Topics include basic theorems of the oscillation theory, existence of solutions of boundary value problems, integral equations of the boundary value problems, and boundary properties of potential-type integrals. The publication also reviews mixed dynamic problems, couple-stress elasticity, and boundary value problems for media bounded by several surfaces. The text is a dependable source of data for mathematicians and readers interested in three-dimensional problems of the mathematical theory of elasticity and thermoelasticity.
Author : R. P. Srivastav
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (227 download)
Download or read book Numerical Solution of Singular Integral Equations Arising in Mixed Boundary Value Problems of Elasticity written by R. P. Srivastav and published by . This book was released on 1983 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this project was the development and analysis of direct methods, based on collocation for the solution of singular integral equations with a principal value integral. These equations arise in such diverse fields as linear elastic fracture mechanics, neutron transport, long water waves, image reconstruction and radiative transfer. In the classical approach, the singular integral equation is regularized to yield a Fredholm integral equation of the second kind. The numerical implementation of the regularization is usually quite cumbersome. While direct methods proposed by Erdogan. Erdogan and Gupta, and Theocaris and Ioakimidis have been used in Fracture Mechanics, their convergence and stability has received scant attention. The work at Stony Brook has made important strides in both directions. The author analyzed the behavior of approximate solutions enhancing our understanding of the convergence and stability of the methods based on Gaussian quadrature. He has also proposed methods which can be employed in the situations where the Gaussian quadrature-collocation schemes fail. (Author).
Author : Gary Richard Hilbert
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (517 download)
Download or read book A Complex Variables Solution to the Mixed Boundary Value Problem of Plane Elasticity with Application to Thermal Stresses written by Gary Richard Hilbert and published by . This book was released on 1970 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ahmed Ghaleb
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659422492
Total Pages : 88 pages
Book Rating : 4.4/5 (224 download)
Download or read book Boundary Integrals in Plane Elasticity with Mixed Boundary Conditions written by Ahmed Ghaleb and published by LAP Lambert Academic Publishing. This book was released on 2013 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to present a low cost, efficient semi-analytical scheme to solve the static, plane problems of elasticity in stresses for homogeneous, isotropic media occupying a long cylinder with simply connected normal cross-section and subjected to mixed boundary conditions on the lateral surface. The method relies on the use of boundary integrals and provides approximate solutions. Besides test problems, the cases of the circular and elliptical boundaries are considered. The boundary singularity of the solution is put in evidence. It is hoped that the material contained in this book will benefit to researchers involved in research work in the fields of plane linear elasticity with mixed boundary conditions and partial differential equations relating to the biharmonic equation.
