TY - JOUR

T1 - Stress singularities in an anisotropic body of revolution

AU - Huang, Chiung-Shiann

AU - Hu, C. N.

AU - Lee, C. C.

AU - Chang, M. J.

PY - 2014/5/15

Y1 - 2014/5/15

N2 - To fill the gap in the literature on the application of three-dimensional elasticity theory to geometrically induced stress singularities, this work develops asymptotic solutions for Williams-type stress singularities in bodies of revolution that are made of rectilinearly anisotropic materials. The Cartesian coordinate system used to describe the material properties differs from the coordinate system used to describe the geometry of a body of revolution, so the problems under consideration are very complicated. The eigenfunction expansion approach is combined with a power series solution technique to find the asymptotic solutions by directly solving the three-dimensional equilibrium equations in terms of the displacement components. The correctness of the proposed solution is verified by convergence studies and by comparisons with results obtained using closed-form characteristic equations for an isotropic body of revolution and using the commercial finite element program ABAQUS for orthotropic bodies of revolution. Thereafter, the solution is employed to comprehensively examine the singularities of bodies of revolution with different geometries, made of a single material or bi-materials, under different boundary conditions.

AB - To fill the gap in the literature on the application of three-dimensional elasticity theory to geometrically induced stress singularities, this work develops asymptotic solutions for Williams-type stress singularities in bodies of revolution that are made of rectilinearly anisotropic materials. The Cartesian coordinate system used to describe the material properties differs from the coordinate system used to describe the geometry of a body of revolution, so the problems under consideration are very complicated. The eigenfunction expansion approach is combined with a power series solution technique to find the asymptotic solutions by directly solving the three-dimensional equilibrium equations in terms of the displacement components. The correctness of the proposed solution is verified by convergence studies and by comparisons with results obtained using closed-form characteristic equations for an isotropic body of revolution and using the commercial finite element program ABAQUS for orthotropic bodies of revolution. Thereafter, the solution is employed to comprehensively examine the singularities of bodies of revolution with different geometries, made of a single material or bi-materials, under different boundary conditions.

KW - Anisotropic bodies of revolution

KW - Asymptotic solutions

KW - Eigenfunction expansion approach

KW - Singularities

UR - http://www.scopus.com/inward/record.url?scp=84896495079&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2014.02.012

DO - 10.1016/j.ijsolstr.2014.02.012

M3 - Article

AN - SCOPUS:84896495079

SN - 0020-7683

VL - 51

SP - 2000

EP - 2011

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 10

ER -