Author: D. S. Griffin
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 52
Book Description
A Numerical Solution for Plane Elasticity Problems
Author: D. S. Griffin
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 52
Book Description
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 52
Book Description
Numerical Solution of Plane Elasticity Problems by a Finite Difference Method
Author: Donald Craig Shumate
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 130
Book Description
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 130
Book Description
The Numerical Solution of Plane Elastic Problems
Author: R. K. Irvine
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 124
Book Description
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 124
Book Description
Solution of Problems in Plane Elasticity by Relaxation of Stress Surfaces
Author: Dale S. Warren
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 166
Book Description
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 166
Book Description
Boundary Integral Equation Solution of Plane Elasticity Problems with High Stress Concentrations
Author: Hassan Nikooyeh
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 246
Book Description
A numerical method for determination of stresses in two-dimensional elastic bodies with high stress concentrations is presented. Major emphasis is placed on bodies with a notch having a fillet of small radius and bodies with a crack of small width. These static boundary value problems are formulated in terms of boundary integral equations of a type used previously by Barone and Robinson for sharp notches and cracks. For the fillet problem a small inner region containing the fillet and bounded by a circle is separated out and analyzed numerically under the loading system of each of the Williams' solution of the corresponding sharp notch. The results are then used to develop analytical solutions for the intermediate region adjacent to the fillet region. In this way the details of the boundary configuration of the fillet is reflected in a set of generalized displacements which characterize the intermediate field.
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 246
Book Description
A numerical method for determination of stresses in two-dimensional elastic bodies with high stress concentrations is presented. Major emphasis is placed on bodies with a notch having a fillet of small radius and bodies with a crack of small width. These static boundary value problems are formulated in terms of boundary integral equations of a type used previously by Barone and Robinson for sharp notches and cracks. For the fillet problem a small inner region containing the fillet and bounded by a circle is separated out and analyzed numerically under the loading system of each of the Williams' solution of the corresponding sharp notch. The results are then used to develop analytical solutions for the intermediate region adjacent to the fillet region. In this way the details of the boundary configuration of the fillet is reflected in a set of generalized displacements which characterize the intermediate field.
Contact Problems in Elasticity
Author: N. Kikuchi
Publisher: SIAM
ISBN: 9781611970845
Category : Science
Languages : en
Pages : 508
Book Description
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.
Publisher: SIAM
ISBN: 9781611970845
Category : Science
Languages : en
Pages : 508
Book Description
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.
A Numerical Solution for a Class of Problems of Finite Elastic Deformations
Author: Eric B. Becker
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 128
Book Description
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 128
Book Description
A Numerical Solution for Plate Bending Problems
Author: D. S. Griffin
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 58
Book Description
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 58
Book Description
A Numerical Method for the Solution of Plane Elastic Problems
A Numerical Method for the Solution of Problems in Three Dimensional Elasticity
Author: Hotten Arthur Elleby
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 250
Book Description
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 250
Book Description