A mixed variational formulation for a class of contact problems in viscoelasticity

Matei AC, Sitzmann S, Willner K, Wohlmuth BI (2018)


Publication Language: English

Publication Type: Journal article

Publication year: 2018

Journal

Book Volume: 97

Pages Range: 1340-1356

Journal Issue: 8

DOI: 10.1080/00036811.2017.1359569

Abstract

We consider a deformable body in frictionless unilateral contact with a moving rigid obstacle. The material is described by a viscoelastic law with short memory, and the contact is modeled by a Signorini condition with a time-dependent gap. The existence and uniqueness results for a weak formulation based on a Lagrange multipliers approach are provided. Furthermore, we discuss an efficient algorithm approximating the weak solution for the more general case of a two-body contact problem including friction. In order to illustrate the theory we present two numerical examples in 3D.

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APA:

Matei, A.C., Sitzmann, S., Willner, K., & Wohlmuth, B.I. (2018). A mixed variational formulation for a class of contact problems in viscoelasticity. Applicable Analysis, 97(8), 1340-1356. https://dx.doi.org/10.1080/00036811.2017.1359569

MLA:

Matei, Andaluzia Cristina, et al. "A mixed variational formulation for a class of contact problems in viscoelasticity." Applicable Analysis 97.8 (2018): 1340-1356.

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