Antiplane shear deformations in a linear theory of elasticity with microstructure

被引:18
作者
Potapenko, S [1 ]
Schiavone, P [1 ]
Mioduchowski, A [1 ]
机构
[1] Univ Alberta, Dept Mech Engn, Edmonton, AB T6G 2G8, Canada
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2005年 / 56卷 / 03期
关键词
linear elasticity; integral equations; micropolar elasticity; existence and uniqueness;
D O I
10.1007/s00033-004-2028-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we solve fundamental boundary value problems in a theory of antiplane elasticity which includes the effects of material microstructure. Using the real boundary integral equation method, we reduce the fundamental problems to systems of singular integral equations and construct exact solutions in the form of integral potentials.
引用
收藏
页码:516 / 528
页数:13
相关论文
共 18 条
[1]  
[Anonymous], MATH ANAL BENDING PL
[2]  
CONSTANDA C, 1978, J APPL MATH PHYS, V29, P835
[3]  
ERINGEN AC, 1966, J MATH MECH, V15, P909
[4]   ANTIPLANE SHEAR DEFORMATIONS IN LINEAR AND NONLINEAR SOLID MECHANICS [J].
HORGAN, CO .
SIAM REVIEW, 1995, 37 (01) :53-81
[6]  
Kupradze VD., 1979, 3 DIMENSIONAL PROBLE
[7]  
Miranda C, 1970, PARTIAL DIFFERENTIAL
[8]  
Muskhelishvili NI., 1968, SINGULAR INTEGRAL EQ
[9]  
Nowacki W., 1986, Theory of Asymmetric Elasticity
[10]   UNIQUENESS IN DYNAMIC PROBLEMS OF THIN MICROPOLAR PLATES [J].
SCHIAVONE, P .
APPLIED MATHEMATICS LETTERS, 1991, 4 (02) :81-83