Ultra-large scale fracture mechanics analysis using a parallel finite element method with submodel technique

2015 ◽  
Vol 105 ◽  
pp. 44-55 ◽  
Author(s):  
Koichiro Arai ◽  
Kaworu Yodo ◽  
Hiroshi Okada ◽  
Tomonori Yamada ◽  
Hiroshi Kawai ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Large Scale ◽  
Mechanics Analysis ◽  
Parallel Finite Element ◽  
Element Method

Fractal Finite-Element Method for Evaluating Sensitivities of Fracture Parameters for Multiple Cracked Systems

2008 ◽  
Author(s):  
R. M. Reddy ◽  
B. N. Rao
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Material Derivative ◽  
Probabilistic Fracture Mechanics ◽  
Linear Elastic ◽  
Fracture Parameters ◽  
Mechanics Analysis ◽  
Cracked Structures ◽  
Element Method

The sensitivities of fracture parameters in cracked structures provide useful information for the prediction of stability and arrest of a single crack, the growth pattern analysis of a system of interacting cracks, configurational stability analysis of evolving cracks, probabilistic fracture mechanics analysis and universal size effect model. In the case of multiple crack systems, for example, sensitivities of fracture parameters at one crack tip due to the growth of any other crack must be calculated to determine the strength of the interaction. In probabilistic fracture mechanics analysis of linear-elastic cracked structures, the first and second order reliability methods require accurate estimates of fracture parameters, their sensitivities. This paper presents a new fractal finite element method based continuum shape sensitivity analysis for evaluating sensitivities of fracture parameters in a homogeneous, isotropic, and two dimensional linear-elastic multiple cracked system subject to mixed-mode loading conditions. The method is based on the material derivative concept of continuum mechanics, and direct differentiation. Unlike virtual crack extension techniques, no mesh perturbation is needed in the proposed method to calculate the sensitivity of fracture parameters. Since the governing variational equation is differentiated prior to the process of discretization, the resulting sensitivity equations predict the first-order sensitivity of fracture parameters, more efficiently and accurately than the finite-difference method.

Heat-Structure Coupling Analysis among Wheel / Rail / Brake Shoe Based on Large-Scale Parallel Finite Element Method

2018 ◽  
Vol 2018.31 (0) ◽  
pp. 081
Author(s):  
Hirotaka SAKAI ◽  
Masakazu Takagaki ◽  
Takuya Karatsu ◽  
Hiroshi Okuda ◽  
Masae HAYASHI ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Large Scale ◽  
Coupling Analysis ◽  
Brake Shoe ◽  
Parallel Finite Element ◽  
Element Method
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