On the traction problem of classical elastostatics

被引：1

作者：

Coscia, Vincenzo ^{[1
]}

Starita, Giulio ^{[2
]}

机构：

[1] Univ Ferrara, Dept Math & Comp Sci, Via Machiavelli 35, I-44121 Ferrara, Italy

[2] Univ Campania, Dept Math & Phys, Viale Lincoln 5, I-81100 Caserta, Italy

来源：

LITHUANIAN MATHEMATICAL JOURNAL | 2018年 / 58卷 / 04期

关键词：

elastostatics; potential theory; classical solutions; 74B05; 74G25; 74G30; 35J47; 35J57;

D O I：

10.1007/s10986-018-9409-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the traction problem of homogeneous and isotropic elastostatics has a unique classical solution in bounded and exterior domains of class C-2,C- for continuous boundary data.

引用

页码：379 / 383

页数：5

共 50 条

[1] On the traction problem of classical elastostatics
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Giulio Starita
[J]. Lithuanian Mathematical Journal, 2018, 58 : 379 - 383
[2] ON THE TRACTION PROBLEM IN LINEAR ELASTOSTATICS
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[J]. JOURNAL OF ELASTICITY, 1992, 27 (01) : 57 - 68
[3] UNIQUENESS OF AXISYMMETRIC EXTERIOR TRACTION PROBLEM IN ELASTOSTATICS
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[J]. JOURNAL OF MATHEMATICS AND MECHANICS, 1966, 15 (02): : 187 - &
[4] ON THE TRACTION PROBLEM FOR LINEAR ELASTOSTATICS IN EXTERIOR DOMAINS
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[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1984, 96 : 55 - 64
[5] LINEARIZATION STABILITY AND SIGNORINI SERIES FOR THE TRACTION PROBLEM IN ELASTOSTATICS
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[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1983, 95 : 171 - 180
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[7] SOME EXISTENCE THEOREMS FOR TRACTION BOUNDARY VALUE PROBLEM OF LINEARIZED ELASTOSTATICS
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[J]. TRENDS IN APPLICATIONS OF MATHEMATICS TO MECHANICS, 2000, 106 : 26 - 32
[9] UNIQUENESS IN CLASSICAL ELASTOSTATICS
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[10] Unbounded Branches of Classical Injective Solutions to the Forced Displacement Problem in Nonlinear Elastostatics
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