On a class of nonconvex Bolza problems related to Blatz-Ko elastic materials

被引：0

作者：

Celada, P.

Perrotta, S.

机构：

[1] Univ Stud Modena & Reggio, Dipartimento Matemat, Parma, Italy

[2] Univ Modena & Reggio Emilia, Dipartimento Matemat Pura & Appl, I-41100 Modena, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2007年 / 39卷 / 03期

关键词：

nonconvex variational problems; Bolza problems; existence of minimizers; cavitation; Blatz-Ko materials;

D O I：

10.1137/060658941

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of solutions to Bolza problems for a special class of one-dimensional, nonconvex integrals. These integrals describe the possibly singular, radial deformations of certain rubberlike materials called Blatz-Ko materials.

引用

页码：838 / 862

页数：25

共 18 条

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[2] Existence and a priori bounds for the finite torsion solution for a class of general Blatz-Ko materials
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[3] Existence and a priori bounds for the finite torsion solution for a class of general Blatz-Ko materials
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Math Mech Solids, 3 (315-326):
[4] Remarks on ellipticity for the generalized Blatz-Ko constitutive model for a compressible nonlinearly elastic solid
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[5] Solution of large deformation contact problems with friction between Blatz-Ko hyperelastic bodies
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[8] On a Class of Nonconvex Noncoercive Bolza Problems with Constraints on the Derivatives
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[10] On the stability of sizing optimization problems for a class of nonlinearly elastic materials
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