A hybrid technique of modeling of cracks using displacement discontinuity and direct boundary element method

1994 ◽  
Vol 67 (4) ◽  
pp. 343-355
Author(s):  
Mohammed Ameen ◽  
B. K. Raghuprasad
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Displacement Discontinuity ◽  
Hybrid Technique ◽  
Direct Boundary Element Method ◽  
Element Method

An Effective Numerical Approach for Multiple Void-Crack Interaction

2005 ◽  
Vol 73 (4) ◽  
pp. 525-535 ◽  
Author(s):  
Xiangqiao Yan
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Elastic Plate ◽  
Homogeneous Problem ◽  
Crack Problem ◽  
General System ◽  
Numerical Approach ◽  
Displacement Discontinuity ◽  
Crack Problems ◽  
Element Method

This paper presents a numerical approach to modeling a general system containing multiple interacting cracks and voids in an infinite elastic plate under remote uniform stresses. By extending Bueckner’s principle suited for a crack to a general system containing multiple interacting cracks and voids, the original problem is divided into a homogeneous problem (the one without cracks and voids) subjected to remote loads and a multiple void-crack problem in an unloaded body with applied tractions on the surfaces of cracks and voids. Thus the results in terms of the stress intensity factors (SIFs) can be obtained by considering the latter problem, which is analyzed easily by means of the displacement discontinuity method with crack-tip elements (a boundary element method) proposed recently by the author. Test examples are included to illustrate that the numerical approach is very simple and effective for analyzing multiple crack/void problems in an infinite elastic plate. Specifically, the numerical approach is used to study the microdefect-finite main crack linear elastic interaction. In addition, complex crack problems in infinite/finite plate are examined to test further the accuracy and robustness of the boundary element method.

Simulation of Fracture Initiation in Hot-Mix Asphalt Mixtures

2003 ◽  
Vol 1849 (1) ◽  
pp. 183-190 ◽  
Author(s):  
Bjorn Birgisson ◽  
Chote Soranakom ◽  
John A. L. Napier ◽  
Reynaldo Roque
Keyword(s):  
Tensile Strength ◽  
Boundary Element Method ◽  
Energy Density ◽  
Fracture Energy ◽  
Boundary Element ◽  
Fracture Initiation ◽  
Asphalt Mixtures ◽  
Displacement Discontinuity ◽  
Cracking Behavior ◽  
Element Method

A displacement discontinuity boundary element method is presented to explicitly model the microstructure of asphalt mixtures and to predict their tensile strength and fracture energy density. The loading response of three mixtures was simulated to assess the mechanics of fracture in the Superpave indirect tension test. The predicted tensile strength and fracture energy density of three samples were comparable with the test results for the samples. The predicted crack initiation and crack propagation patterns are consistent with observed cracking behavior. The results also imply that fracture in mixtures can be modeled effectively using a micromechanical approach that allows for crack growth both along aggregate surfaces and through the aggregates. Finally, the nonlinear Mohr–Coulomb type of failure envelope used to model the mastic appears to result in reasonable predictions. It can be concluded that the explicit fracture modeling with the displacement discontinuity boundary element method has the potential to evaluate the mechanics of fracture in asphalt mixtures.

Study on Numerical Methods for Acoustic Radiation of Open Structure

2010 ◽  
Vol 439-440 ◽  
pp. 692-697
Author(s):  
Li Jun Li ◽  
Xian Yue Gang ◽  
Hong Yan Li ◽  
Shan Chai ◽  
Ying Zi Xu
Keyword(s):  
Boundary Element Method ◽  
Numerical Methods ◽  
Boundary Element ◽  
Acoustic Radiation ◽  
Coupling Method ◽  
Open Structure ◽  
Acoustic Coupling ◽  
Infinite Element Method ◽  
Direct Boundary Element Method ◽  
Element Method

For acoustic radiation of open thin-walled structure, it was difficult to analyze directly by analytical method. The problem could be solved by several numerical methods. This paper had studied the basic theory of the numerical methods as FEM (Finite Element Method), BEM (Boundary Element Method) and IFEM (Infinite Element Method), and the numerical methods to solve open structure radiation problem. Under the premise of structure-acoustic coupling, this paper analyzed the theory and flow of the methods on acoustic radiation of open structure, including IBEM (Indirect Boundary Element Method), DBEM (Direct Boundary Element Method) coupling method of interior field and exterior field, FEM and BEM coupling method, FEM and IFEM coupling method. This paper took the open structure as practical example, and applied the several methods to analyze it, and analyzed and compared the several results to get relevant conclusions.

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