Download or read book Reduced Integration and Exterior Penalty Methods for Finite Element Approximations of Contact Problems in Incompressible Elasticity written by John Tinsley Oden and published by . This book was released on 1980 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reduced integration and exterior penalty methods for finite element approximations of contact problems in incompressible linear elasticity written by Y. J. Song and published by . This book was released on 1980 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reduced Integration and Exterior Penalty Methods for Finite Element Approximations of Contract Problems in Incompressible Elasticity written by J. T. Oden and published by . This book was released on 1980 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Download or read book Hybrid and Mixed Finite Element Methods written by Satya N. Atluri and published by John Wiley & Sons. This book was released on 1983 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Penalty finite Element Methods in Mechanics written by American Society of Mechanical Engineers. Winter Annual Meeting and published by . This book was released on 1982 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book New Concepts in Finite Element Analysis written by Thomas J. R. Hughes and published by . This book was released on 1981 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1982 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Accuracy of Finite Element Approximations to Structural Problems written by Langley Research Center and published by . This book was released on 1970 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Element Methods written by Michel Krizek and published by Routledge. This book was released on 2017-11-22 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.
Download or read book Conforming Finite Element Methods for Incompressible and Nearly Incompressible Continua written by L. R. Scott and published by . This book was released on 1984 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest here is in finite element discretizations of problems involving an incompressibility condition. As model problems we consider the Stokes equations for the flow of a viscous, incompressible fluid and the equations of linear plane-strain elasticity for the deformation of an isotropic, nearly incompressible solid. In both cases the incompressibility condition takes the form of a divergence constraint. Although this is the most simple formulation, the proper understanding of how an approximate method satisfies the constraint represents an important step towards the understanding of more complicated situations, involving e.g. the Navier-Stokes equations or the equations of nonlinear elasticity. The finite element methods we study have the property that the approximations to the velocities, respectively to the displacements, are continuous; such methods are generally referred to as conforming.
Download or read book A Reduced Integration Technique for Improved Accuracy of Finite Element Approximations written by Kamar Jit Singh and published by . This book was released on 1977 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Robust Non conforming Finite Element Approximation in Nearly Incompressible Linear Elasticity written by David James Blacker and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis of Finite Deformations of Elastic Solids by the Finite Element Method written by John Tinsley Oden and published by . This book was released on 1971 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report is concerned with an extension of previous finite element applications in finite elasticity. Generally, formulations of the equations governing finite deformations of incompressible elastic elements are presented. Formulations of higher order approximations and curvilinear elements are also given. Two types of incompressibility conditions are obtained: one which is applied locally, element by element, and another which is applied at each node in the connected model. Discussions of nonconservative generalized forces and consistent stresses in finitely deformed elements are considered. The incremental loading technique is applied to solve the nonlinear equations for arbitrary forms of strain energy function for isotropic methods. Several numerical examples are presented; these include finite stretching of materially nonlinear sheets, finite deformation of a circular plate, and finite plane strain of a body containing a circular hole. (Author).
Download or read book Adaptive Finite Element Methods written by Wenbin Liu and published by Alpha Science International Limited. This book was released on 2012 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summary: "This book emphasizes the discussions of some unique issues from the adaptive finite element approximation of optimal control. The main idea used in the approximation error analysis (both a priori and a posteriori) is to first combine convex analysis and interpolation error estimations of suitable interpolators, which much depend on the structure of the control constraints, to derive the error estimates for the control via the variational inequalities in the optimality conditions, and then to apply the standard techniques to derive the error estimates for the state equations. The need, the framework and the techniques of using multi adaptive meshes in developing efficient numerical algorithms for optimal control have been emphasized throughout the book. The book starts from several typical examples of optimal control problems and then discusses existence and optimality conditions for some optimal control problems. It is believed that these discussions are especially useful for the researchers and students who first entered this area. Then the finite element approximation schemes for several typical optimal control problems are set up, their a priori and a posteriori error estimates are derived following the main idea mentioned, and their computational methods are studied."-- Publisher website, viewed 13th July, 2012.
Download or read book Application of the Boundary Element Method to Finite Elasticity written by Husain Jubran Algahtani and published by . This book was released on 1992 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymmetric Quasilinear Finite Element Methods for Solving Nonlinear Incompressible Elasticity Problems written by Vitoriano Ruas and published by . This book was released on 1981 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
