Spatial behaviour in plane incompressible elasticity on a half-strip

R. J. Knops; P. Villaggio

Spatial behaviour in plane incompressible elasticity on a half-strip

R. J. Knops
, P. Villaggio

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

Abstract

Growth and decay estimates are derived for an incompressible homogeneous isotropic elastic material occupying a plane semi-infinite strip in equilibrium under self-equilibrated loads on the base and zero traction along the lateral sides. The estimates depend upon a pair of differential inequalities for two cross-sectional line integrals related to different kinds of energy fluxes. A comparison with the exact solution shows that the estimates are somewhat conservative. The method, however, is applicable to non-rectangular plane regions.

Original language	English
Pages (from-to)	355-367
Number of pages	13
Journal	Quarterly of Applied Mathematics
Volume	58
Issue number	2
Publication status	Published - Jun 2000

Cite this

@article{ef378fbda2a24733b249967b73a4584e,

title = "Spatial behaviour in plane incompressible elasticity on a half-strip",

abstract = "Growth and decay estimates are derived for an incompressible homogeneous isotropic elastic material occupying a plane semi-infinite strip in equilibrium under self-equilibrated loads on the base and zero traction along the lateral sides. The estimates depend upon a pair of differential inequalities for two cross-sectional line integrals related to different kinds of energy fluxes. A comparison with the exact solution shows that the estimates are somewhat conservative. The method, however, is applicable to non-rectangular plane regions.",

author = "Knops, \{R. J.\} and P. Villaggio",

year = "2000",

month = jun,

language = "English",

volume = "58",

pages = "355--367",

journal = "Quarterly of Applied Mathematics",

issn = "1552-4485",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Spatial behaviour in plane incompressible elasticity on a half-strip

AU - Knops, R. J.

AU - Villaggio, P.

PY - 2000/6

Y1 - 2000/6

N2 - Growth and decay estimates are derived for an incompressible homogeneous isotropic elastic material occupying a plane semi-infinite strip in equilibrium under self-equilibrated loads on the base and zero traction along the lateral sides. The estimates depend upon a pair of differential inequalities for two cross-sectional line integrals related to different kinds of energy fluxes. A comparison with the exact solution shows that the estimates are somewhat conservative. The method, however, is applicable to non-rectangular plane regions.

AB - Growth and decay estimates are derived for an incompressible homogeneous isotropic elastic material occupying a plane semi-infinite strip in equilibrium under self-equilibrated loads on the base and zero traction along the lateral sides. The estimates depend upon a pair of differential inequalities for two cross-sectional line integrals related to different kinds of energy fluxes. A comparison with the exact solution shows that the estimates are somewhat conservative. The method, however, is applicable to non-rectangular plane regions.

UR - https://www.scopus.com/pages/publications/0033730903

M3 - Article

SN - 1552-4485

VL - 58

SP - 355

EP - 367

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 2

ER -

Spatial behaviour in plane incompressible elasticity on a half-strip

Abstract

Other files and links

Fingerprint

Cite this