Journal
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 100, Issue -, Pages 54-73Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2016.07.009
Keywords
Bi-modulus material; Non-smooth constitutive relations; Newton-Raphson methods; Wrinkling analysis; Cell mechanosensing
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Funding
- National Natural Science Foundation [10925209, 91216201, 11402048]
- Fundamental Research Funds for the Central Universities
- Program for Changjiang Scholars, Innovative Research Team in University (PCSIRT)
- 111 Project [B14013]
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Materials possessing tension-compression asymmetric behavior can be simulated by a bi-modulus constitutive relation, which assumes the materials have different moduli in tension and compression. Traditional iteration methods struggle for the convergence difficulty for such kind of constitutive model. In this paper, a new computational framework is established. Solution procedures under both small and finite deformations, which have asymptotically quadratic rate of convergence, have also been proposed and implemented in ABAQUS with UMAT. Numerical examples show that the proposed computational framework can be applied successfully to simulate the wrinkling analysis of thin plane membranes and explain some unusual cell mechanosensing phenomena. (C) 2016 Elsevier Ltd. All rights reserved.
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