A crack between dissimilar anisotropic media

Clements, D. L.

doi:10.1016/0020-7225(71)90055-3

Cited by 175 publications

(55 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…In the following derivations, we will replace the complex variables 1 z x i y η = + by the common complex variable z x iy = + due to the fact that 1 z z = on the real axis (y = 0) [17]. When the analysis is finished, the complex variable z x iy = + for 1 ( ) f z shall be changed back to the corresponding complex variable 1 z .…”

Section: Basic Formationmentioning

confidence: 98%

A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface

Wang

Pan

2007

Physica Status Solidi (b)

View full text Add to dashboard Cite

Closed-form solutions in terms of exponential integrals are derived for a constantly moving screw dislocation in a piezoelectric bimaterial with an imperfect interface. The imperfect interface discussed here is mechanically compliant and dielectrically weakly (or highly) conducting. The electroelastic fields due to the moving dislocation, such as stresses, strains, electric displacements and electric fields, are obtained for this bimaterial. The solutions derived here are valid when the moving velocity of the screw dislocation is below the Bleustein -Gulyaev wave speeds of the two piezoelectric half-planes. This restriction is different from that in a perfectly bonded bimaterial where the moving velocity of the screw dislocation is below the piezoelectrically stiffened bulk shear wave speeds of the two piezoelectric half-planes. Numerical results are also presented to demonstrate the influence of the interface imperfection and the velocity of the moving dislocation on the electroelastic fields in the piezoelectric bimaterial.

show abstract

Section: Basic Formationmentioning

confidence: 98%

A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface

Wang

Pan

2007

Physica Status Solidi (b)

View full text Add to dashboard Cite

show abstract

“…The crack length is 5 cm, from (−5, 0) to (0, 0) and the crack-tip is located at (0, 0) and the plane stress state is presumed. The following material properties are used: (Norway spruce; Piceaabies) [41]: E 1 = 11.84 GPa, E 2 = 0.81 GPa, G 12 = 0.63 GPa, 12 = 0.38…”

Section: S Esna Ashari and S Mohammadimentioning

confidence: 99%

Delamination analysis of composites by new orthotropic bimaterial extended finite element method

Ashari

Mohammadi

2011

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYThe extended finite element method (XFEM) is further improved for fracture analysis of composite laminates containing interlaminar delaminations. New set of bimaterial orthotropic enrichment functions are developed and utilized in XFEM analysis of linear-elastic fracture mechanics of layered composites. Interlaminar crack-tip enrichment functions are derived from analytical asymptotic displacement fields around a traction-free interfacial crack. Also, heaviside and weak discontinuity enrichment functions are utilized in modeling discontinuous fields across interface cracks and bimaterial weak discontinuities, respectively. In this procedure, elements containing a crack-tip or strong/weak discontinuities are not required to conform to those geometries. In addition, the same mesh can be used to analyze different interlaminar cracks or delamination propagation. The domain interaction integral approach is also adopted in order to numerically evaluate the mixed-mode stress intensity factors. A number of benchmark tests are simulated to assess the performance of the proposed approach and the results are compared with available reference results.

show abstract

“…Clements [2] studied cracks between dissimilar anisotropic linear elastic materials. These early studies have been clarified and extended by Rice [3] and Hutchinson et al [4].…”

Section: Introductionmentioning

confidence: 99%

Near-tip fields for a crack growing along an elastic perfectly plastic interface

张林

黄克智

1997

Acta Mech Sinica

View full text Add to dashboard Cite

show abstract

A crack between dissimilar anisotropic media

Cited by 175 publications

References 8 publications

A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface

A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface

Delamination analysis of composites by new orthotropic bimaterial extended finite element method

Near-tip fields for a crack growing along an elastic perfectly plastic interface

Contact Info

Product

Resources

About