A 3D domain decomposition approach for the identification of spatially varying elastic material parameters
Type
ArticleKAUST Department
Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)Mechanical Engineering Program
Physical Science and Engineering (PSE) Division
Date
2015-02-24Online Publication Date
2015-02-24Print Publication Date
2015-05-18Permanent link to this record
http://hdl.handle.net/10754/564066
Metadata
Show full item recordAbstract
Summary: The post-treatment of (3D) displacement fields for the identification of spatially varying elastic material parameters is a large inverse problem that remains out of reach for massive 3D structures. We explore here the potential of the constitutive compatibility method for tackling such an inverse problem, provided an appropriate domain decomposition technique is introduced. In the method described here, the statically admissible stress field that can be related through the known constitutive symmetry to the kinematic observations is sought through minimization of an objective function, which measures the violation of constitutive compatibility. After this stress reconstruction, the local material parameters are identified with the given kinematic observations using the constitutive equation. Here, we first adapt this method to solve 3D identification problems and then implement it within a domain decomposition framework which allows for reduced computational load when handling larger problems.Citation
Moussawi, A., Lubineau, G., Xu, J., & Pan, B. (2015). A 3D domain decomposition approach for the identification of spatially varying elastic material parameters. International Journal for Numerical Methods in Engineering, 102(7), 1431–1448. doi:10.1002/nme.4853Sponsors
This work has been supported by KAUST baseline and competitive funding.Publisher
WileyDOI
10.1002/nme.4853ae974a485f413a2113503eed53cd6c53
10.1002/nme.4853