END EFFECTS FOR ANTIPLANE SHEAR DEFORMATIONS OF SANDWICH STRUCTURES

被引:18
作者
BAXTER, SC
HORGAN, CO
机构
[1] Department of Applied Mathematics, School of Engineering and Applied Science, University of Virginia, Charlottesville, 22903, VA
关键词
D O I
10.1007/BF00042458
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The purpose of this research is to further investigate the effects of material inhomogeneity and the combined effects of material inhomogeneity and anisotropy on the decay of Saint-Venant end effects. Saint-Venant decay rates for self-equilibrated edge loads in symmetric sandwich structures are examined in the context of anti-plane shear for linear anisotropic elasticity. The problem is governed by a second-order, linear, elliptic, partial differential equation with discontinuous coefficients. The most general anisotropy consistent with a state of anti-plane shear is considered, as well as a variety of boundary conditions. Anti-plane or longitudinal shear deformations are one of the simplest classes of deformations in solid mechanics. The resulting deformations are completely characterized by a single out-of-plane displacement which depends only on the in-plane coordinates. They can be thought of as complementary deformations to those of plane elasticity. While these deformations have received little attention compared with the plane problems of linear elasticity, they have recently been investigated for anisotropic and inhomogeneous linear elasticity. In the context of linear elasticity, Saint-Venant's principle is used to show that self-equilibrated loads generate local stress effects that quickly decay away from the loaded end of a structure. For homogeneous isotropic linear elastic materials this is well-documented. Self-equilibrated loads are a class of load distributions that are statically equivalent to zero, i.e., have zero resultant force and moment. When Saint-Venant's principle is valid, pointwise boundary conditions can be replaced by more tractable resultant conditions. It is shown in the present study that material inhomogeneity significantly affects the practical application of Saint-Venant's principle to sandwich structures.
引用
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页码:123 / 164
页数:42
相关论文
共 21 条
[1]   DAMAGE IN COMPOSITES - MODELING OF IMPERFECT BONDING [J].
ABOUDI, J .
COMPOSITES SCIENCE AND TECHNOLOGY, 1987, 28 (02) :103-128
[2]   A STUDY OF SAINT-VENANTS PRINCIPLE FOR COMPOSITE-MATERIALS BY MEANS OF INTERNAL-STRESS FIELDS [J].
ARIMITSU, Y ;
NISHIOKA, K ;
SENDA, T .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1995, 62 (01) :53-58
[3]  
BAXTER SC, 1995, THESIS U VIRGINIA
[4]   ON THE EFFECT OF DEBONDING ON THE OVERALL BEHAVIOR OF COMPOSITE-MATERIALS [J].
BENVENISTE, Y .
MECHANICS OF MATERIALS, 1984, 3 (04) :349-358
[5]  
Carlsson LA, 1987, EXPT CHARACTERIZATIO
[6]   SAINT-VENANT END EFFECTS FOR PLANE DEFORMATION OF SANDWICH STRIPS [J].
CHOI, I ;
HORGAN, CO .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1978, 14 (03) :187-195
[7]   SAINT-VENANTS PRINCIPLE AND END EFFECTS IN ANISOTROPIC ELASTICITY [J].
CHOI, I ;
HORGAN, CO .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1977, 44 (03) :424-430
[8]   THE EIGENVALUES FOR A SELF-EQUILIBRATED, SEMIINFINITE, ANISOTROPIC ELASTIC STRIP [J].
CRAFTER, EC ;
HEISE, RM ;
HORGAN, CO ;
SIMMONDS, JG .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1993, 60 (02) :276-281
[9]  
Gibson R., 1994, PRINCIPLES COMPOSITE
[10]  
Horgan C.O., 1989, APPL MECH REV, V42, P295, DOI [10.1115/1.3152414, DOI 10.1115/1.3152414]