ON CONSERVATION-LAWS IN VISCOELASTOSTATICS

被引：4

作者：

JIANG, Q

机构：

[1] Huazhong Univ of Science &, Technology, Dep of Mechanics, Wuhan,, China, Huazhong Univ of Science & Technology, Dep of Mechanics, Wuhan, China

来源：

ACTA MECHANICA | 1985年 / 56卷 / 3-4期

关键词：

MATHEMATICAL TECHNIQUES - Variational Techniques - MECHANICS - Elasticity;

D O I：

10.1007/BF01177119

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Noether's theorem on variational principles in which the associated functionals are invariant under a group of infinitesimal transformations is used to establish conservation laws associated with linear viscoelastostatics. One of them may be regarded as a viscoelastic generalization of Rice's J-integral in elasticity. In addition, those conservation laws are discussed briefly in physics.

引用

页码：219 / 227

页数：9

共 7 条

[1]

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[2]

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[3]

GURTIN ME, 1963, ARCH RATION MECH AN, V11, P291

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GURTIN, ME .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1964, 16 (01) :34-50

[5]

KNOWLES JK, 1972, ARCH RATION MECH AN, V44, P187

[6]

Noether E., 1918, NACHR GES WISS GOTTI, V1918, P235, DOI DOI 10.1080/00411457108231446

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RICE, JR .

JOURNAL OF APPLIED MECHANICS, 1968, 35 (02) :379-+

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