Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity

@article{citeulike:1180924, abstract = {This paper is concerned with the effective modeling of deformation microstructures within a concurrent multiscale computing framework. We present a rigorous formulation of concurrent multiscale computing based on relaxation; we establish the connection between concurrent multiscale computing and enhanced-strain elements; and we illustrate the approach in an important area of application, namely, single-crystal plasticity, for which the explicit relaxation of the problem is derived analytically. This example demonstrates the vast effect of microstructure formation on the macroscopic behavior of the sample, e.g., on the force/travel curve of a rigid indentor. Thus, whereas the unrelaxed model results in an overly stiff response, the relaxed model exhibits a proper limit load, as expected. Our numerical examples additionally illustrate that ad hoc element enhancements, e.g., based on polynomial, trigonometric, or similar representations, are unlikely to result in any significant relaxation in general.}, author = {Conti, Sergio and Hauret, Patrice and Ortiz, Michael }, citeulike-article-id = {1180924}, journal = {Multiscale Modeling \& Simulation}, keywords = {computing, multiscale}, number = {1}, pages = {135--157}, posted-at = {2007-03-22 17:19:27}, priority = {2}, publisher = {SIAM}, title = {Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=MMSUBT000006000001000135000001\&idtype=cvips\&gifs=yes}, volume = {6}, year = {2007} }

TY - JOUR ID - citeulike:1180924 L3 - citeulike-article-id:1180924 TI - Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single-Crystal Plasticity JF - Multiscale Modeling & Simulation VL - 6 IS - 1 SP - 135 EP - 157 PB - SIAM N2 - This paper is concerned with the effective modeling of deformation microstructures within a concurrent multiscale computing framework. We present a rigorous formulation of concurrent multiscale computing based on relaxation; we establish the connection between concurrent multiscale computing and enhanced-strain elements; and we illustrate the approach in an important area of application, namely, single-crystal plasticity, for which the explicit relaxation of the problem is derived analytically. This example demonstrates the vast effect of microstructure formation on the macroscopic behavior of the sample, e.g., on the force/travel curve of a rigid indentor. Thus, whereas the unrelaxed model results in an overly stiff response, the relaxed model exhibits a proper limit load, as expected. Our numerical examples additionally illustrate that ad hoc element enhancements, e.g., based on polynomial, trigonometric, or similar representations, are unlikely to result in any significant relaxation in general. KW - computing KW - multiscale AU - Conti, Sergio AU - Hauret, Patrice AU - Ortiz, Michael PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=MMSUBT000006000001000135000001&idtype=cvips&gifs=yes ER -