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Non-Linearity and Breakdown in Soft Condensed Matter pp 186–201Cite as

Spring-network and finite-element models for elasticity and fracture

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Part of the book series: Lecture Notes in Physics ((LNP,volume 437))

Abstract

This paper discusses computational models for elastic deformation and fracture of brittle, disordered materials. In particular, we compare models based on networks of springs and finite-element discretizations. When the length scale of elements in the numerical model corresponds to discrete material elements, spring-network approaches are valid. Their validity as models for a continuous medium is examined by comparing to a finite-volume discretization and by studying (a) the ability to capture uniform strain, and (b) the ability to model crack propagation in an isotropic, homogeneous, brittle material. As models of continuous media, spring-networks exhibit several numerical artifacts. For such problems, we conclude that finite-element methods can be used to the same degree of accuracy or better than spring-network models.

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Authors and Affiliations

  1. Central Research and Development, E.I. DuPont de Nemours & Co., Experimental Station, 19880-0356, Wilmington, Delaware, USA

    A. Jagota & S. J. Bennison

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  1. A. Jagota
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  2. S. J. Bennison
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Kamal K. Bardhan Bikas K. Chakrabarti Alex Hansen

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© 1994 Springer-Verlag

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Jagota, A., Bennison, S.J. (1994). Spring-network and finite-element models for elasticity and fracture. In: Bardhan, K.K., Chakrabarti, B.K., Hansen, A. (eds) Non-Linearity and Breakdown in Soft Condensed Matter. Lecture Notes in Physics, vol 437. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58652-0_37

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  • DOI: https://doi.org/10.1007/3-540-58652-0_37

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  • Print ISBN: 978-3-540-58652-4

  • Online ISBN: 978-3-540-49037-1

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