University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Application of the Wiener–Hopf technique in contact problems

Application of the Wiener–Hopf technique in contact problems

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact info@newton.ac.uk.

WHTW01 - Factorisation of matrix functions: New techniques and applications

Problems involving the contact interaction between two elastic bodies, or between an elastic body (called substrate) and a rigid body (called indenter), have occupied the attention of engineering researchers for well over a century. In recent years much attention has been paid to mechanical aspects of contact and adhesion in biological systems, which has resulted in formulating new contact problems, in particular, for a thin elastic layer on a substrate being indented by an indenter of non-canonical shape. Since problems in contact mechanics belong to the class of mixed boundary value problems and can be usually reduced to solving integral equations, it is natural to expect that the Wiener–Hopf method will one of the powerful analytical tools for their investigation. The Wiener–Hopf technique in combination with asymptotic methods has the advantage of universality in obtaining solutions in the analytical form as well as of simplicity for further qualitative analysis. In the present talk we briefly overview the application of the Wiener–Hopf technique to a representative range of contact problems, emphasizing the need of using complementarity asymptotic techniques to cover a larger space of the problem parameters.

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2019 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity