... mechanics work, we propose an approximation of the energy release rate field associated with a small surface crack of any boundary location, direction, and orientation combination using the topological derivative. This work builds on the work of Silva et al. (“Energy Release Rate Approximation for Small...

... fracture mechanics integro-differential equations shear deformation surface cracks surface elasticity mode-III crack antiplane deformations complete exact solution Cauchy singular integro-differential equation Currently, the two fundamental approaches used in the modeling...

... criterion is applicable to FGM crack initiation prediction if the inherent material gradient length scale is larger than the fracture process zone. 29 06 2007 31 12 2007 11 07 2008 fracture mechanics functionally graded materials internal stresses surface cracks FGM crack...

... to inelastic processes increases from negative to positive electric fields by up to 100%. For the corresponding nonlinear electric energy change during crack growth, only a rough estimate is performed. 15 04 2004 19 03 2007 lead compounds piezoceramics surface cracks piezoelectricity...

... that of a main crack, simply using the sign of the T-stress before crack kinking is not sufficient to determine crack growth stability as observed in recent experiments. 09 05 2005 20 01 2006 surface cracks elasticity fracture mechanics A crack will propagate off its original path due...

... singularity predicted by classical linear elastic fracture mechanics. 22 12 2004 23 11 2005 fracture mechanics numerical analysis continuum mechanics surface cracks surface energy stress analysis 1 Linear elastic fracture mechanics is arguably one of the most successful...

... analytical results are difficult to obtain for a cracked bimaterial plate with a mode I or mode II crack under dynamic load ( 2 ), we will start from a simple mode III crack to study the effect of material property mismatch, etc. ( 3 ). aluminium steel plates (structures) surface cracks impact...

... laminates ferroelectric materials ferromagnetic materials surface cracks magnetoelectric effects magnetoelastic effects dielectric polarisation piezoelectricity The effects of electromagnetomechanical coupling have been observed in single-phase materials in which simultaneous electric...

... the boundary element method is implemented. plates (structures) crack-edge stress field analysis surface cracks fatigue cracks elasticity internal stresses boundary-elements methods Now, consider arbitrary displacement discontinuity distributions along element length 2...

... vibrations surface cracks 31 12 2003 07 02 2005 2005 American Society of Mechanical Engineers ...

... yield stress surface cracks partial differential equations Hutchinson , J. W. , 1968 , “ Plane Stress and Strain Fields at the Crack Tip ,” J. Mech. Phys. Solids , 16 , pp. 337 – 347 . Unger, D. J., 2001, Analytical Fracture Mechanics , Dover Publications, Mineola, NY. von...

... penny-shaped cracks permittivity surface cracks elastic constants Hankel transforms Piezoelectric materials have been used widely in techniques, such as actuators, sensors, transducers, etc., due to the intrinsic coupling feature between elastic and electric behaviors 1 . However, a main...

... in the coated and uncoated specimens were quite different. 13 01 2004 08 10 2004 sapphire polymers self-assembly monolayers fracture surface cracks interface phenomena adhesion interferometry atomic force microscopy X-ray photoelectron spectra surface topography finite element...

... surface cracks crack-edge stress field analysis transformation toughening elastic moduli Green's function methods dislocations Consider the plane elastostatics problem shown in Fig. 1 ( a ). A circular inhomogeneity with radius a Poisson’s ratio ν 2 , and shear modulus μ...

... of the auxiliary fields. The final form of the M integral for each of these formulations is compared and assessed from a theoretical point of view later. 24 02 2003 27 07 2004 functionally graded materials fracture mechanics integral equations surface cracks finite element analysis...

.... The solution derived can be used as Green’s function to study internal cracks interacting with an elliptical interfacial cavity. composite material interfaces surface cracks dislocation interactions voids (solid) conformal mapping Green's function methods Composites are widely employed...

... technique. The resulting singular integral equation is solved numerically and the stress intensity factor variations are plotted for some cases of internal crack interacting with interfacial cavity/crack. crack-edge stress field analysis voids (solid) surface cracks dislocation interactions integral...