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Author: F. T. C. Loo Publisher: ISBN: Category : Languages : en Pages : 45
Book Description
Numerical methods for the analysis of the elastic-plastic fracture problem using a special finite element technique are presented. A brief description of some concepts in elastic-plastic fracture mechanics and of the finite element method is followed by the formulation procedure of the stiffness matrix using eight-noded quadrilateral isoparametric elements. After a terse discussion of the initial stress method, the procedure of computation is extended in the analysis by using an incremental load process. The size and the shape of the plastic zone of a center crack specimen is investigated. The problem of crack growth is also studied using the moving crack tip element procedure. Results are presented in graphical form. It was found that the moving finite element technique can be modified to solve the crack branching problems.
Author: F. T. C. Loo Publisher: ISBN: Category : Languages : en Pages : 45
Book Description
Numerical methods for the analysis of the elastic-plastic fracture problem using a special finite element technique are presented. A brief description of some concepts in elastic-plastic fracture mechanics and of the finite element method is followed by the formulation procedure of the stiffness matrix using eight-noded quadrilateral isoparametric elements. After a terse discussion of the initial stress method, the procedure of computation is extended in the analysis by using an incremental load process. The size and the shape of the plastic zone of a center crack specimen is investigated. The problem of crack growth is also studied using the moving crack tip element procedure. Results are presented in graphical form. It was found that the moving finite element technique can be modified to solve the crack branching problems.
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.
Author: Naman Recho Publisher: John Wiley & Sons ISBN: 111856328X Category : Technology & Engineering Languages : en Pages : 347
Book Description
This book presents recent advances related to the following two topics: how mechanical fields close to material or geometrical singularities such as cracks can be determined; how failure criteria can be established according to the singularity degrees related to these discontinuities. Concerning the determination of mechanical fields close to a crack tip, the first part of the book presents most of the traditional methods in order to classify them into two major categories. The first is based on the stress field, such as the Airy function, and the second resolves the problem from functions related to displacement fields. Following this, a new method based on the Hamiltonian system is presented in great detail. Local and energetic approaches to fracture are used in order to determine the fracture parameters such as stress intensity factor and energy release rate. The second part of the book describes methodologies to establish the critical fracture loads and the crack growth criteria. Singular fields for homogeneous and non-homogeneous problems near crack tips, v-notches, interfaces, etc. associated with the crack initiation and propagation laws in elastic and elastic-plastic media, allow us to determine the basis of failure criteria. Each phenomenon studied is dealt with according to its conceptual and theoretical modeling, to its use in the criteria of fracture resistance; and finally to its implementation in terms of feasibility and numerical application. Contents 1. Introduction. Part 1: Stress Field Analysis Close to the Crack Tip 2. Review of Continuum Mechanics and the Behavior Laws. 3. Overview of Fracture Mechanics. 4. Fracture Mechanics. 5. Introduction to the Finite Element Analysis of Cracked Structures. Part 2: Crack Growth Criteria 6. Crack Propagation. 7. Crack Growth Prediction in Elements of Steel Structures Submitted to Fatigue. 8. Potential Use of Crack Propagation Laws in Fatigue Life Design.
Author: JC. Newman Publisher: ISBN: Category : Aluminums Languages : en Pages : 25
Book Description
An elastic-plastic (incremental and small strain) finite element analysis was used with a crack growth criterion to study crack initiation, stable crack growth, and instability under monotonic loading to failure of metallic materials. The crack growth criterion was a critical crack-tip-opening displacement (CTOD) at a specified distance from the crack tip, or equivalently, a critical crack-tip-opening angle (CTOA). Whenever the CTOD (or CTOA) equaled or exceeded a critical value, the crack was assumed to grow. Single values of critical CTOD were found in the analysis to model crack initiation, stable crack growth, and instability for 7075-T651 and 2024-T351 aluminum alloy compact specimens. Calculated and experimentally measured (from the literature) CTOD values at initiation agreed well for both aluminum alloys. These critical CTOD values from compact specimens were also used to predict failure loads on center-crack tension specimens and a specially designed three-hole-crack tension specimen made of the two aluminum alloys and of 304 stainless steel. All specimens were 12.7 mm thick. Predicted failure loads for 7075-T651 aluminum alloy and 304 stainless steel specimens were generally within ±15% of experimental failure loads, while the predicted failure loads for 2024-T351 aluminum alloy specimens were generally within ±6% of the experimental loads. The technique presented here can be used as an engineering tool to predict crack initiation, stable crack growth, and instability for cracked structural components from laboratory specimens such as compact specimens.
Author: F. T. C. Loo
Author: F. T. C. Loo
Author: 
Author: Sylvie Pommier
Author: P. S. Lam
Author: Rahmatollah Ghadimi Chermahini
Author: Naman Recho
Author: R. Craig McClung
Author: Meng R. Liu
Author: JC. Newman
Author: Mark Anthony James