Bi-Sobolev boundary singularities

Tadeusz Iwaniec; Jani Onninen; Zheng Zhu

doi:10.1007/s40627-023-00114-w

Bi-Sobolev boundary singularities

Tadeusz Iwaniec
, Jani Onninen^*
, Zheng Zhu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	4
Journal	Complex Analysis and its Synergies
Volume	9
Issue number	1
DOIs	https://doi.org/10.1007/s40627-023-00114-w
State	Published - Mar 2023
Externally published	Yes

Keywords

Bi-Sobolev homeomorphisms
Cusp
Quasiball

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10.1007/s40627-023-00114-w

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title = "Bi-Sobolev boundary singularities",

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{\textquoteright} Law, we investigate when the deformed configuration returns to its original shape by applying the inverse deformation with the same finite energy.",

keywords = "Bi-Sobolev homeomorphisms, Cusp, Quasiball",

author = "Tadeusz Iwaniec and Jani Onninen and Zheng Zhu",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2023",

month = mar,

doi = "10.1007/s40627-023-00114-w",

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AU - Iwaniec, Tadeusz

AU - Onninen, Jani

AU - Zhu, Zheng

PY - 2023/3

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N2 - 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.

AB - 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.

KW - Bi-Sobolev homeomorphisms

KW - Cusp

KW - Quasiball

UR - https://www.scopus.com/pages/publications/85148432692

U2 - 10.1007/s40627-023-00114-w

DO - 10.1007/s40627-023-00114-w

M3 - 文章

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SN - 2524-7581

VL - 9

JO - Complex Analysis and its Synergies

JF - Complex Analysis and its Synergies

IS - 1

M1 - 4

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Bi-Sobolev boundary singularities

Abstract

Keywords

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