Shenoy, V. B.; Miller, R.; Tadmor, E. B.; Rodney, D.; Phillips, R.; Ortiz, M. An adaptive finite element approach to atomic-scale mechanics. – The quasicontinuum method. (English) Zbl 0982.74071 J. Mech. Phys. Solids 47, No. 3, 611-642 (1999). From the summary: The paper gives a description of the quasicontinuum method, with special reference to the ways in which the method may be used to model crystals with more than a single grain. The formulation is validated in terms of a series of calculations on grain boundary structure and energetics. The method is then illustrated on the motion of a stepped twin boundary where a critical stress for the boundary motion is calculated, and on the nanoindentation into a solid containing a subsurface grain boundary to study the interaction of dislocations with grain boundaries. Cited in 135 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 74M25 Micromechanics of solids 82D25 Statistical mechanics of crystals 74E15 Crystalline structure Keywords:constitutive behaviour; finite elements; quasicontinuum method; crystal; grain boundary structure; twin boundary; nanoindentation; dislocation PDF BibTeX XML Cite \textit{V. B. Shenoy} et al., J. Mech. Phys. Solids 47, No. 3, 611--642 (1999; Zbl 0982.74071) Full Text: DOI arXiv References: This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.