On the contact problem of classical elasticity

被引：11

作者：

Russo, Antonio ^{[1
]}

Tartaglione, Alfonsina ^{[1
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

来源：

JOURNAL OF ELASTICITY | 2010年 / 99卷 / 01期

关键词：

Linearly elastic bodies; Systems of linear elasticity; Exterior domains; Contact problem; Existence and uniqueness;

D O I：

10.1007/s10659-009-9227-z

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We deal with the contact problem of homogeneous and isotropic linear elastostatics in the exterior of a bounded convex domain of R(3). We prove existence and uniqueness of a solution, provided the elasticity tensor is only strongly elliptic.

引用

页码：19 / 38

页数：20

共 10 条

[1]

[Anonymous], 2003, DIRECT METHODS CALCU, DOI DOI 10.1142/5002

[2]

Dautray R., 1990, Mathematical analysis and numerical methods for science and technology, V4

[3]

EDELSTEIN WS, 1968, J APPL MATH PHYS, V19, P906

[4]

FOSDICK RI, 1968, J APPL MATH PHYS, V19, P219

[5] A note on uniqueness in linear elastostatics [J].

Fosdick, Roger ;

Piccioni, M. D. ;

Puglisi, G. .

JOURNAL OF ELASTICITY, 2007, 88 (01) :79-86

[6]

Gurtin ME., 1972, Handbuch der Physik, band Via/2

[7] BOUNDARY-VALUE-PROBLEMS FOR THE SYSTEM OF ELASTICITY THEORY IN UNBOUNDED-DOMAINS - KORNS INEQUALITIES [J].

KONDRATEV, VA ;

OLEINIK, OA .

RUSSIAN MATHEMATICAL SURVEYS, 1988, 43 (05) :65-119

[8]

Kupradze V D., 1979, Three-dimensional problems of elasticity and thermoelasticity

[9] On Stokes' Problem [J].

Russo, Remigio .

ADVANCES IN MATHEMATICAL FLUID MECHANICS: DEDICATED TO GIOVANNI PAOLO GALDI ON THE OCCASION OF HIS 60TH BIRTHDAY, INTERNATIONAL CONFERENCE ON MATHEMATICAL FLUID MECHANICS, 2007, 2010, :473-511

[10]

Solonnikov V.A., 1973, Tr. Mat. Inst. Steklova, V125, P196

← 1 →