Title

Incremental finite element method for thermomechanical contact part I : Tangent stiffness matrix

Abstract

This investigation concerns the development of incremental finite element algorithms to support design improvements and thermomechanical analysis of components subject to variable thermomechanical contact. The basic quantity which arises in the formulation is a tangent stiffness matrix, which in essence serves as a Jacobian matrix for the purpose of solution by Newton iteration. This quantity is derived explicitly in Part I in compact form using Kronecker product notation. Existing finite element codes with contact capabilities are based on approximations which are suitable for small geometric change, and in any event do not couple thermal and mechanical effects in contact. Here, a gap element suitable for modeling variable contact is introduced based a nonlinear conductive elastic foundation model. It has no small deformation restrictions and avoids some computational difficulties posed by commonly used bilinear elastic models. The gap function is used to derive contributions to the Jacobian matrix from the contact condition. Owing to the power of Kronecker product notation, compact expressions are derived for several otherwise intractable quantities arising in the Jacobian matrix, such as the derivative of the surface normal vector with respect to the displacement vector. In Part II, the formulation is applied to elastomeric seals and gaskets, which of course are essential components in pressure vessel systems.

Publication Date

12-1-1997

Publication Title

American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP

Volume

356

Number of Pages

3-8

Document Type

Article

Personal Identifier

scopus

Socpus ID

0030692159 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0030692159

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