Bi-Sobolev boundary singularities

Year of publication

2023

Authors

Iwaniec, Tadeusz; Onninen, Jani; Zhu, Zheng

Abstract

We provide sharp geometric descriptions of boundary singularities in the form of cusps that can be created by a deformation of a hyperelastic body which stores a given bi-Sobolev type energy. Guided by Hookes’ Law, we investigate when the deformed configuration returns to its original shape by applying the inverse deformation with the same finite energy.

Organizations and authors

University of Jyväskylä

Onninen Jani

Zhu Zheng

Publication type

Publication format

Article

Parent publication type

Journal

Article type

Original article

Audience

Scientific

Peer-reviewed

Peer-Reviewed

MINEDU's publication type classification code

A1 Journal article (refereed), original research

Publication channel information

Journal/Series

Complex Analysis and its Synergies

Publisher

Springer

Volume

Issue

Article number

ISSN

2524-7581

Publication forum

89044

Publication forum level

Open access

Open access in the publisher’s service

Self-archived

Other information

Fields of science

Mathematics

Keywords

[object Object]

Publication country

Germany

Internationality of the publisher

International

Language

English

International co-publication

Yes

Co-publication with a company

DOI

10.1007/s40627-023-00114-w

The publication is included in the Ministry of Education and Culture’s Publication data collection

Yes