TY - JOUR

T1 - Stress singularities in bimaterial bodies of revolution

AU - Huang, Chiung-Shiann

AU - Leissa, A. W.

PY - 2008/2/1

Y1 - 2008/2/1

N2 - An eigenfunction expansion solution is first developed for determining the stress singularities of bimaterial bodies of revolution by directly solving the equilibrium equations of three-dimensional elasticity in terms of displacement functions. The characteristic equations are explicitly given for determining the stress singularities in the vicinity of the interface corner of two intersecting bodies of revolution having a sharp corner with free boundary conditions along the corner. The characteristic equations are found to be equivalent to a combination of the characteristic equations for plane elasticity problems and St. Venant torsion problems. The strength of stress singularities varying with the interface angles is also investigated. The first known asymptotic solutions for the displacement and stress fields are also explicitly shown for some interface angles. The present results will be useful not only for understanding the singularity behaviors of stresses in the vicinity of a revolution interface corner, but also for developing accurate numerical solutions with fast convergence for stress or vibration analysis of a body of revolution having an interface corner.

AB - An eigenfunction expansion solution is first developed for determining the stress singularities of bimaterial bodies of revolution by directly solving the equilibrium equations of three-dimensional elasticity in terms of displacement functions. The characteristic equations are explicitly given for determining the stress singularities in the vicinity of the interface corner of two intersecting bodies of revolution having a sharp corner with free boundary conditions along the corner. The characteristic equations are found to be equivalent to a combination of the characteristic equations for plane elasticity problems and St. Venant torsion problems. The strength of stress singularities varying with the interface angles is also investigated. The first known asymptotic solutions for the displacement and stress fields are also explicitly shown for some interface angles. The present results will be useful not only for understanding the singularity behaviors of stresses in the vicinity of a revolution interface corner, but also for developing accurate numerical solutions with fast convergence for stress or vibration analysis of a body of revolution having an interface corner.

KW - Asymptotic solution

KW - Bimaterial bodies of revolution

KW - Eigenfunction expansion method

KW - Stress singularities

UR - http://www.scopus.com/inward/record.url?scp=35148861032&partnerID=8YFLogxK

U2 - 10.1016/j.compstruct.2007.01.026

DO - 10.1016/j.compstruct.2007.01.026

M3 - Article

AN - SCOPUS:35148861032

SN - 0263-8223

VL - 82

SP - 488

EP - 498

JO - Composite Structures

JF - Composite Structures

IS - 4

ER -