Applications of FEM and BEM in Two-dimensional Fracture Mechanics Problems

Applications of FEM and BEM in Two-dimensional Fracture Mechanics Problems PDF Author: J. B. Min
Publisher:
ISBN:
Category : Fracture mechanics
Languages : en
Pages : 28

Book Description


Application of the Method of Finite Element Analysis to Two-dimensional Problems in Fracture Mechanics

Application of the Method of Finite Element Analysis to Two-dimensional Problems in Fracture Mechanics PDF Author: A. S. Kobayashi
Publisher:
ISBN:
Category :
Languages : en
Pages : 24

Book Description
The method of direct stiffness is used to determine stress intensity factors for two-dimensional fracture mechanic problems of practical interest. For most problems, the crack opening displacement about three nodal positions away from the crack tip was used to determine the stress intensity factor within a projected accuracy of plus or minus 5%. The requirement of extremely small finite elements in the vicinity of the crack tip is circumvented and the amount of computational effort is reduced. Stress intensity factors obtained by this method include the double cantilever specimen, notched cylinder with internal pressure, edge-notched square plate with prescribed edge displacements, and the tension plate with slanted cracks. (Author).

ASME 69-WA/PVP-12

ASME 69-WA/PVP-12 PDF Author: Albert S. Kobayashi
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 7

Book Description


Applications of Fem and Bem in Two-Dimensional Fracture Mechanics Problems

Applications of Fem and Bem in Two-Dimensional Fracture Mechanics Problems PDF Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781725162495
Category :
Languages : en
Pages : 38

Book Description
A comparison of the finite element method (FEM) and boundary element method (BEM) for the solution of two-dimensional plane strain problems in fracture mechanics is presented in this paper. Stress intensity factors (SIF's) were calculated using both methods for elastic plates with either a single-edge crack or an inclined-edge crack. In particular, two currently available programs, ANSYS for finite element analysis and BEASY for boundary element analysis, were used. Min, J. B. and Steeve, B. E. and Swanson, G. R. Marshall Space Flight Center NASA-TP-3277, M-695, NAS 1.60:3277 ...

Numerical Fracture Mechanics

Numerical Fracture Mechanics PDF Author: M.H. Aliabadi
Publisher: Springer Science & Business Media
ISBN: 9780792311751
Category : Science
Languages : en
Pages : 296

Book Description
The purpose of this book is to present, describe and demonstrate the use of numerical methods in solving crack problems in fracture mechanics. The text concentrates, to a large extent, on the application of the Boundary Element Method (BEM) to fracture mechanics, although an up-to-date account of recent advances in other numerical methods such as the Finite Element Method is also presented. The book is an integrated presentation of modem numerical fracture mechanics, it contains a compilation of the work of many researchers as well as accounting for some of authors' most recent work on the subject. It is hoped that this book will bridge the gap that exists between specialist books on theoretical fracture mechanics on one hand, and texts on numerical methods on the other. Although most of the methods presented are the latest developments in the field of numerical fracture mechanics, the authors have also included some simple techniques which are essential for understanding the physical principles that govern crack problems in general. Different numerical techniques are described in detail and where possible simple examples are included, as well as test results for more complicated problems. The book consists of six chapters. The first chapter initially describes the historical development of theoretical fracture mechanics, before proceeding to present the basic concepts such as energy balance, stress intensity factors, residual strength and fatigue crack growth as well as briefly describing the importance of stress intensity factors in corrosion and residual stress cracking.

Analysis of Two-dimensional Fracture Mechanics Problems Using the Finite Element Method

Analysis of Two-dimensional Fracture Mechanics Problems Using the Finite Element Method PDF Author: Barry James Simon
Publisher:
ISBN:
Category : Strains and stresses
Languages : en
Pages : 80

Book Description


Boundary Element Analysis in Computational Fracture Mechanics

Boundary Element Analysis in Computational Fracture Mechanics PDF Author: T.A. Cruse
Publisher: Springer Science & Business Media
ISBN: 9400913850
Category : Science
Languages : en
Pages : 171

Book Description
The Boundary Integral Equation (BIE) method has occupied me to various degrees for the past twenty-two years. The attraction of BIE analysis has been its unique combination of mathematics and practical application. The EIE method is unforgiving in its requirement for mathe matical care and its requirement for diligence in creating effective numerical algorithms. The EIE method has the ability to provide critical inSight into the mathematics that underlie one of the most powerful and useful modeling approximations ever devised--elasticity. The method has even revealed important new insights into the nature of crack tip plastic strain distributions. I believe that EIE modeling of physical problems is one of the remaining opportunities for challenging and fruitful research by those willing to apply sound mathematical discipline coupled with phys ical insight and a desire to relate the two in new ways. The monograph that follows is the summation of many of the successes of that twenty-two years, supported by the ideas and synergisms that come from working with individuals who share a common interest in engineering mathematics and their application. The focus of the monograph is on the application of EIE modeling to one of the most important of the solid mechanics disciplines--fracture mechanics. The monograph is not a trea tise on fracture mechanics, as there are many others who are far more qualified than I to expound on that topic.

Finite Elements in Fracture Mechanics

Finite Elements in Fracture Mechanics PDF Author: Meinhard Kuna
Publisher: Springer Science & Business Media
ISBN: 9400766807
Category : Science
Languages : en
Pages : 464

Book Description
Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.

Extended Finite Element Method for Crack Propagation

Extended Finite Element Method for Crack Propagation PDF Author: Sylvie Pommier
Publisher: John Wiley & Sons
ISBN: 1118622693
Category : Technology & Engineering
Languages : en
Pages : 271

Book Description
Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.

Extended Finite Element Method

Extended Finite Element Method PDF Author: Amir R. Khoei
Publisher: John Wiley & Sons
ISBN: 1118869680
Category : Science
Languages : en
Pages : 600

Book Description
Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples