### Abstract

A rectangular strip, consisting of homogeneous, isotropic, elastic material, is in an equilibrium state of plane stress, due to actions applied to a pair of opposite edges, the remaining pair being traction-free. The convexity of certain cross-sectional measures of stress is established; and a generalized convexity property is also established for one such measure, leading to an explicit decay estimate for the measure in the case of a semi-infinite strip, one end of which is subjected to a self-equilibrated load. © 1988 Birkhäuser Verlag Basel.

Original language | English |
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Pages (from-to) | 166-176 |

Number of pages | 11 |

Journal | ZAMP Zeitschrift für angewandte Mathematik und Physik |

Volume | 39 |

Issue number | 2 |

DOIs | |

Publication status | Published - Mar 1988 |

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### Cite this

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*ZAMP Zeitschrift für angewandte Mathematik und Physik*, vol. 39, no. 2, pp. 166-176. https://doi.org/10.1007/BF00945763

**Some convexity considerations for a two-dimensional traction problem.** / Flavin, J. N.; Knops, R. J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Some convexity considerations for a two-dimensional traction problem

AU - Flavin, J. N.

AU - Knops, R. J.

PY - 1988/3

Y1 - 1988/3

N2 - A rectangular strip, consisting of homogeneous, isotropic, elastic material, is in an equilibrium state of plane stress, due to actions applied to a pair of opposite edges, the remaining pair being traction-free. The convexity of certain cross-sectional measures of stress is established; and a generalized convexity property is also established for one such measure, leading to an explicit decay estimate for the measure in the case of a semi-infinite strip, one end of which is subjected to a self-equilibrated load. © 1988 Birkhäuser Verlag Basel.

AB - A rectangular strip, consisting of homogeneous, isotropic, elastic material, is in an equilibrium state of plane stress, due to actions applied to a pair of opposite edges, the remaining pair being traction-free. The convexity of certain cross-sectional measures of stress is established; and a generalized convexity property is also established for one such measure, leading to an explicit decay estimate for the measure in the case of a semi-infinite strip, one end of which is subjected to a self-equilibrated load. © 1988 Birkhäuser Verlag Basel.

UR - http://www.scopus.com/inward/record.url?scp=3142713424&partnerID=8YFLogxK

U2 - 10.1007/BF00945763

DO - 10.1007/BF00945763

M3 - Article

VL - 39

SP - 166

EP - 176

JO - Zeitschrift für angewandte Mathematik und Physik ZAMP

JF - Zeitschrift für angewandte Mathematik und Physik ZAMP

SN - 0044-2275

IS - 2

ER -