An asymptotic numerical method to solve compliant Lennard-Jones-based contact problems involving adhesive instabilities-Reference-Cited by-同舟云学术

An asymptotic numerical method to solve compliant Lennard-Jones-based contact problems involving adhesive instabilities

Published:2018-10-31 Issue:6 Volume:63 Page:1261-1281
ISSN:0178-7675
Container-title:Computational Mechanics
language:en
Short-container-title:Comput Mech

Author:

Du Shuimiao,Ben Dhia Hachmi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Mechanical Engineering,Ocean Engineering,Computational Mechanics

Link

http://link.springer.com/content/pdf/10.1007/s00466-018-1648-8.pdf

Reference35 articles.

1. Abramowitz M, Stegun IA (1965) Handbook of mathematical functions with formulas, graphs, and mathematical table, vol 2172. Dover, New York

2. Attard P, Parker JL (1992) Deformation and adhesion of elastic bodies in contact. Phys Rev A 46(12):7959

3. Baguet S, Cochelin B (2003) On the behaviour of the ANM continuation in the presence of bifurcations. Int J Numer Methods Biomed Eng 19(6):459–471

4. Ben Dhia H (1998) Multiscale mechanical problems: the Arlequin method. Comptes Rendus de l’Academie des Sci Ser IIB Mech Phys Astron 326(12):899–904

5. Ben Dhia H (1999) Numerical modelling of multiscale problems: the Arlequin method. In: CD proceedings of ECCM’99, Munchen

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