Download or read book Mathematical Elasticity written by Philippe G. Ciarlet and published by SIAM. This book was released on 2022-01-22 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book of a three-volume set, Three-Dimensional Elasticity covers the modeling and mathematical analysis of nonlinear three-dimensional elasticity. It includes the known existence theorems, either via the implicit function theorem or via the minimization of the energy (John Ball’s theory). An extended preface and extensive bibliography have been added to highlight the progress that has been made since the volume’s original publication. While each one of the three volumes is self-contained, together the Mathematical Elasticity set provides the only modern treatise on elasticity; introduces contemporary research on three-dimensional elasticity, the theory of plates, and the theory of shells; and contains proofs, detailed surveys of all mathematical prerequisites, and many problems for teaching and self-study. These classic textbooks are for advanced undergraduates, first-year graduate students, and researchers in pure or applied mathematics or continuum mechanics. They are appropriate for courses in mathematical elasticity, theory of plates and shells, continuum mechanics, computational mechanics, and applied mathematics in general.

Download or read book Numerical Solution of Three Dimensional Elasticity written by E. L. Marvin and published by . This book was released on 1967 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research reported here was undertaken to develop an alternative method for solving three-dimensional elasticity boundary value problems that might prove less expensive than the three-dimensional finite elements approach. Such a new approximate solution procedure, if successful, would also provide a means for checking the results obtained by finite elements analysis. A computer program called 3DELAS1, which may be used to solve displacement boundary value problems for generally shaped finite solids, has been developed as a part of this research.

Download or read book A Numerical Method for the Solution of Problems in Three Dimensional Elasticity written by Hotten Arthur Elleby and published by . This book was released on 1964 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Three Dimensional Elasticity written by and published by Elsevier. This book was released on 1988-04-01 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Download or read book A Numerical Solution of Three dimensional Problems in Dynamic Elasticity written by Wilfred W. Recker (Jr.) and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Solution of Three Dimensional Problems in Dynamic Elasticity written by W. W. Recker and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Download or read book Numerical Solution of Three dimensional Elasticity Problems for Solid Rocket Grains Based on Integrated Equations written by Alexandre L.. Deak and published by . This book was released on 1972 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Solution of Three Dimensional Elasticity Problems for Solid Rocket Grains Based on Integral Equations Volume I Integral Equation Formulations written by Alexander L. Deak and published by . This book was released on 1972 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented is a description of two FORTRAN programs for the static analysis of simple connected finite three-dimensional elastic solids. These methods are based on a surface integral form of Navier's elasticity equations and result either in a set of singular integral equations with Cauchy kernels, or in a set of regular integral equations for the unknown boundary values. Thus, the three-dimensional problem is effectively reduced to a two-dimensional problem. Over any portion of the boundary surface, eight combinations of the prescribed displacement and stress vector components are possible. The complement of these combinations is then calculated by the programs. Provision is made to obtain boundary stresses, interior stresses, strains, and displacements at any point in the body. The extension to linear viscoelasticity is discussed. (Author).

Download or read book Lectures on Three dimensional Elasticity written by Philippe G. Ciarlet and published by . This book was released on 1983 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book ASME 70 APM D written by Wilfred W. Recker and published by . This book was released on 1970 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Numerical Procedure for Calculating Stress and Deformation Near a Slit in a Three dimensional Elastic plastic Solid written by David J. Ayres and published by . This book was released on 1968 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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:

Download or read book Three Dimensional Elasticity written by Philippe G. Ciarlet and published by Elsevier. This book was released on 1994-01-19 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a thorough introduction to contemporary research in elasticity, and may be used as a working textbook at the graduate level for courses in pure or applied mathematics or in continuum mechanics. It provides a thorough description (with emphasis on the nonlinear aspects) of the two competing mathematical models of three-dimensional elasticity, together with a mathematical analysis of these models. The book is as self-contained as possible.

Download or read book Mathematical Elasticity Volume I written by Philippe G. Ciarlet and published by Society for Industrial and Applied Mathematics (SIAM). This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This textbook is appropriate for graduate level courses in pure or applied mathematics or in continuum mechanics"--

Download or read book Stress Formulation in Three Dimensional Elasticity written by Surya N. Patnaik and published by . This book was released on 2001 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of elasticity evolved over centuries through the contributions of eminent scientists like Cauchy, Navier, Hooke Saint Venant, and others. It was deemed complete when Saint Venant provided the strain formulation in 1860. However, unlike Cauchy, who addressed equilibrium in the field and on the boundary. the strain formulation was confined only to the field. Saint Venant overlooked the compatibility on the boundary. Because of this deficiency, a direct stress formulation could not be developed. Stress with traditional methods must be recovered by backcalculation : differentiating either the displacement or the stress function. We have addressed the compatibility on the boundary. Augmentation of these conditions has completed the stress formulation in elasticity, opening up a way for a direct determination of stress without the intermediate step of calculating the displacement or the stress function.

Download or read book Numerical Methods for Exterior Problems written by Long'an Ying and published by World Scientific. This book was released on 2006 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- 1. Exterior problems of partial differential equations. 1.1. Harmonic equation-potential theory. 1.2. Poisson equations. 1.3. Poisson equations-variational formulation. 1.4. Helmholtz equations. 1.5. Linear elasticity. 1.6. Bi-harmonic equations. 1.7. Steady Navier-Stokes equations-linearized problems. 1.8. Steady Navier-Stokes equations. 1.9. Heat equation. 1.10. Wave equation. 1.11. Maxwell equations. 1.12. Darwin model -- 2. Boundary element method. 2.1. Some typical domains. 2.2. General domains. 2.3. Subdivision of the domain. 2.4. Dirichlet to Neǔmann operator. 2.5. Finite part of divergent integrals. 2.6. Numerical approximation. 2.7. Error estimates. 2.8. Domain decomposition. 2.9. Boundary perturbation -- 3. Infinite element method. 3.1. Harmonic equation-two dimensional problems. 3.2. General elements. 3.3. Harmonic equation-three dimensional problems. 3.4. Inhomogeneous equations. 3.5. Plane elasticity. 3.6. Bi-harmonic equations. 3.7. Stokes equation. 3.8. Darwin model. 3.9. Elliptic equations with variable coefficients. 3.10. Convergence -- 4. Artificial boundary conditions. 4.1. Absorbing boundary conditions. 4.2. Some approximations. 4.3. Bayliss-Turkel radiation boundary conditions. 4.4. A lower order absorbing boundary condition. 4.5. Liao extrapolation in space and time. 4.6. Maxwell equations. 4.7. Finite difference schemes. 4.8. Stationary Navier-Stokes equations -- 5. Perfectly matched layer method. 5.1. Wave equations. 5.2. Bérenger's perfectly matched layers. 5.3. Stability analysis. 5.4. Uniaxial perfectly matched layers. 5.5. Maxwell equations. 5.6. Helmholtz equations -- 6. Spectral method. 6.1. Introduction. 6.2. Orthogonal systems of polynomials. 6.3. Laguerre spectral methods. 6.4. Jacobi spectral methods. 6.5. Rational and irrational spectral methods. 6.6. Error estimates