Author: Harvinder S. SidhuPublisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 180
Book Description
Hierarchical Finite Elements for Stress Concentration and Stress Singularity Problems
Author: Harvinder S. SidhuPublisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 180
Book Description
Hierarchical Finite Elements for Stress Concentration and Stress Singularity Problems
Author: The Scaled Boundary Finite Element Method
Author: John P. WolfPublisher: John Wiley & Sons
ISBN: 9780471486824
Category : Technology & Engineering
Languages : en
Pages : 398
Book Description
A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.
The Application of the Finite Element Method to Stress Concentrations in Plane Stress Problems
Author: M.S. Al-IzziFinite Element for Stress Singularity
Author: Raj Deep RahejaFinite Elements in Fracture Mechanics
Author: Magd Abdel WahabPublisher: LAP Lambert Academic Publishing
ISBN: 9783838304014
Category : Finite element method
Languages : en
Pages : 172
Book Description
The computation of the strain energy release rate and the stress intensity factor in a fracture mechanics problem is of great importance since they categorise and characterize the crack growth. The work presented in this thesis concentrates on the calculation of the strain energy release rate and the stress intensity factor by the finite element method for general power type singularity problems. Based on the Irwin s crack closure integral method, strain energy release rate formulae for 3-D finite elements are derived. Applications to embedded elliptical and semi-elliptical surface crack are also presented. A family of 2-D finite elements which have the capability of modelling general power type singularity problems is developed. Those elements are useful in modelling cracks perpendicular to a bimaterial interface and kinked cracks where the stress singularity has a value different from 0.5. The concept of the 2-D element has been extended to develop a 3-D 6-noded element containing a singularity , which can be used to model a corner singularity at the crack front free surface intersection and cracks in composite materials.
Generally Applicable Stress Concentration Finite Elements
Author: Stein Erik TaugbolPublisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 750
Book Description
Finite Element Investigation of Stress Concentration Factors
Author: Ronald McWhorterPublisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 66
Book Description
Engineering Stress Analysis
Author: David N. FennerPublisher: Prentice Hall
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 264
Book Description
Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics
Author: Erwin SteinPublisher: CISM International Centre for Mechanical Sciences
ISBN:
Category : Computers
Languages : en
Pages : 380
Book Description
The work deals with a systematic theoretical and problem-oriented treatment of fundamental topics in the wide area of error-controlled adaptive finite element methods for analyzing engineering structures with elastic and inelastic material behavior applied to engineering structures. Different types of error estimators are presented from both mathematical and engineering points of views: global estimators and goal-oriented estimators based on duality techniques, controlling h-, p-, and hp-adaptivity. Special features are: combined model and discretization adaptivity for thin-walled structures, hierarchic modeling in elasticity and related hp-adaptivity, error estimators of constitutive equations, adequate mesh refinement techniques and error-controlled adaptive elastic-plastic analysis of contact problems. The benefits are seen in new methods and results of leading researches in the field which provide deeper insight into recent developments of a posteriori error analysis and adaptivity.