caa a22 4500 463243986 CHVBK 20180405153320.0 cr unu---uuuuu 170326e20070401xx s 000 0 eng 10.1007/s00158-006-0089-8 doi (NATIONALLICENCE)springer-10.1007/s00158-006-0089-8 Optimal design of composite structures for strength and stiffness: an inverse homogenization approach [Elektronische Daten] [Robert Lipton, Michael Stuebner] We introduce a rigorously based numerical method for compliance minimization problems in the presence of pointwise stress constraints. The method is based on new multiscale quantities that measure the amplification of the local stress due to the microstructure. The design method is illustrated for two different kinds of problems. The first identifies suitably graded distributions of fibers inside shaft cross sections that impart sufficient overall stiffness while at the same time adequately control the amplitude of the local stress at each point. The second set of problems are carried out in the context of plane strain. In this study, we recover a novel class of designs made from locally layered media for minimum compliance subject to pointwise stress constraints. The stress-constrained designs place the more compliant material in the neighborhood of stress concentrators associated with abrupt changes in boundary loading and reentrant corners. Springer-Verlag Berlin Heidelberg, 2007 Stress constraints nationallicence Optimal structural design nationallicence Lipton Robert Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut Stuebner Michael Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 351-362 1615-147X 33:4-5<351 2007 33 158 https://doi.org/10.1007/s00158-006-0089-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00158-006-0089-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lipton Robert Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut NATIONALLICENCE 700 1- Stuebner Michael Department of Mathematics, Louisiana State University, 70803, Baton Rouge, LA, USA aut NATIONALLICENCE 773 0- Structural and Multidisciplinary Optimization Springer-Verlag 33/4-5(2007-04-01), 351-362 1615-147X 33:4-5<351 2007 33 158 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer