Adjoint design sensitivity analysis of crack propagation using molecular-continuum multiscale approach

2011 ◽  
pp. 311-315 ◽  
Author(s):  
Hong-Lae Jang ◽  
Min-Geun Kim ◽  
Seonho Cho
Keyword(s):  
Sensitivity Analysis ◽  
Crack Propagation ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Multiscale Approach ◽  
Adjoint Design Sensitivity Analysis

Adjoint Design Sensitivity Analysis of Fracture Mechanics Using Molecular-Continuum Multiscale Approach

2011 ◽  
Author(s):  
Hyun-Seok Kim ◽  
Hong-Lae Jang ◽  
Min-Geun Kim ◽  
Seonho Cho
Keyword(s):  
Sensitivity Analysis ◽  
Projection Operator ◽  
Design Sensitivity ◽  
Design Sensitivity Analysis ◽  
Generalized Langevin Equation ◽  
Multiscale Approach ◽  
Scale Analysis ◽  
Analysis Method ◽  
Sensitivity Analysis Method ◽  
Bridging Scale Method

We have developed a multiscale design sensitivity analysis method for transient dynamics using a bridging scale method by a projection operator for scale decomposition. Employing a mass-weighted projection operator, we can fully decouple the equations of motion into fine and coarse scales using the orthogonal property of complimentary projector to the mass matrix. Thus, independent solvers in response analyses can be utilized for the fine scale analysis of molecular dynamic (MD) and the coarse scale analysis of finite element analysis. To reduce the size of problems and to improve the computational efficiency, a generalized Langevin equation is used for a localized MD analysis. Through demonstrative numerical examples, it turns out that the derived sensitivity analysis method is accurate and efficient compared with finite difference sensitivity.

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