An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem
Friedrich M, Schmidt B (2014)
Publication Type: Journal article
Publication year: 2014
Journal
Book Volume: 24
Pages Range: 145-183
Journal Issue: 1
DOI: 10.1007/s00332-013-9187-0
Abstract
A two-dimensional atomic mass spring system is investigated for critical fracture loads and its crack path geometry. We rigorously prove that, in the discreteto- continuum limit, the minimal energy of a crystal under uniaxial tension leads to a universal cleavage law and energy minimizers are either homogeneous elastic deformations or configurations that are completely cracked and do not store elastic energy. Beyond critical loading, the specimen generically cleaves along a unique optimal crystallographic hyperplane. For specific symmetric crystal orientations, however, cleavage might fail. In this case a complete characterization of possible limiting crack geometries is obtained. © Springer Science+Business Media New York 2013.
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Germany (DE)How to cite
APA:
Friedrich, M., & Schmidt, B. (2014). An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem. Journal of Nonlinear Science, 24(1), 145-183. https://doi.org/10.1007/s00332-013-9187-0
MLA:
Friedrich, Manuel, and Bernd Schmidt. "An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem." Journal of Nonlinear Science 24.1 (2014): 145-183.
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