Surface Green Function With Surface Stresses and Surface Elasticity Using Stroh's Formalism
In the present paper, surface Green functions in an anisotropic elastic half-domain subjected to a concentrated force and a line force are derived using Stroh's formalism considering surface stress an...
In the present paper, surface Green functions in an anisotropic elastic half-domain subjected to a concentrated force and a line force are derived using Stroh's formalism considering surface stress an...
Reliability of Strongly Nonlinear Single Degree of Freedom Dynamic Systems by the Path Integration Method
This paper presents a first passage type reliability analysis of strongly nonlinear stochastic single-degree-of-freedom systems. Specifically, the systems considered are a dry friction system, a stiff...
This paper presents a first passage type reliability analysis of strongly nonlinear stochastic single-degree-of-freedom systems. Specifically, the systems considered are a dry friction system, a stiff...
Gradient Elasticity Theory for Mode III Fracture in Functionally Graded Materials—Part II: Crack Parallel to the Material Gradation
J. Appl. Mech. -- November 2008 -- Volume 75, Issue 6, 061015 (11 pages)
doi:10.1115/1.2912933
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A Mode-III crack problem in a functionally graded material modeled by anisotropic strain-gradient elasticity theory is solved by the integral equation method. The gradient elasticity theory has two material characteristic lengths ![[script-l]](http://scitation.aip.org/stockgif3/ell.gif)
and ![[prime]](http://scitation.aip.org/stockgif3/prime-script.gif)
, which are responsible for volumetric and surface strain-gradient terms, respectively. The governing differential equation of the problem is derived assuming that the shear modulus G is a function of x, i.e., G=G(x)=G0e
x, where G0 and 
are material constants. A hypersingular integrodifferential equation is derived and discretized by means of the collocation method and a Chebyshev polynomial expansion. Numerical results are given in terms of the crack opening displacements, strains, and stresses with various combinations of the parameters , , and . Formulas for the stress intensity factors, KIII, are derived and numerical results are provided.
and , which are responsible for volumetric and surface strain-gradient terms, respectively. The governing differential equation of the problem is derived assuming that the shear modulus G is a function of x, i.e., G=G(x)=G0ex, where G0 and are material constants. A hypersingular integrodifferential equation is derived and discretized by means of the collocation method and a Chebyshev polynomial expansion. Numerical results are given in terms of the crack opening displacements, strains, and stresses with various combinations of the parameters , , and . Formulas for the stress intensity factors, KIII, are derived and numerical results are provided.
©2008 American Society of Mechanical Engineers
| History: | Received 23 February 2007; revised 27 February 2007; published 21 August 2008 | |
| doi: | http://dx.doi.org/10.1115/1.2912933 | |
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BibSonomy
KEYWORDS and PACS
Chebyshev approximation,
crack-edge stress field analysis,
elastic constants,
elasticity,
fracture mechanics,
functionally graded materials,
integro-differential equations,
polynomial approximation,
shear modulus
- 81.40.Np
Fatigue, embrittlement, fracture and failure - 81.40.Jj
Elasticity and anelasticity, stress-strain relations - 62.20.mt
Cracks in solids - 62.20.mm
Fracture in solids - 62.20.de
Elastic moduli of solids - 02.60.Nm
Integral and integrodifferential equations - 02.30.Mv
Approximations and expansions - YEAR: 2008
