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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.<\/jats:p>","DOI":"10.1137\/060662332","type":"journal-article","created":{"date-parts":[[2007,3,23]],"date-time":"2007-03-23T11:49:04Z","timestamp":1174650544000},"page":"135-157","source":"Crossref","is-referenced-by-count":31,"title":["Concurrent Multiscale Computing of Deformation Microstructure by Relaxation and Local Enrichment with Application to Single\u2010Crystal Plasticity"],"prefix":"10.1137","volume":"6","author":[{"given":"Sergio","family":"Conti","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Patrice","family":"Hauret","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michael","family":"Ortiz","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2007,3,22]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1007\/s002050050051"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01298185"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1007\/BF02576171"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2003.1179"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00281246"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142997329220"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(88)90180-6"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5096(99)00093-9"},{"key":"R9","doi-asserted-by":"crossref","unstructured":"A. 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