Annular cracks can be generated during the fabrication of materials and around the pre-
existing defects. Previous works on the annular crack problems were most limited to …

Hydraulic fractures that grow at shallow depth or, more generally, near a free surface, curve
towards the surface to become saucer-shaped. These saucer-shaped hydraulic fractures …

Mechanical behavior of functionally graded materials (FGMs) with the presence of defects,
such as dislocations and cracks, is of great scientific interest and practical importance …

This paper describes a fixed grid algorithm to simulate the propagation of shallow hydraulic
fractures, under plane strain or axisymmetric conditions. Because of the low stress …

This paper describes a displacement discontinuity method for modeling axisymmetric cracks
in an elastic half-space or full space. The formulation is based on hypersingular integral …

Underground injection of liquid materials is a critical practice in geological engineering with
various applications, such as geologic sequestration of carbon dioxide, deep geologic …

Laser induced fracture of brittle solid films can be employed in transfer of brittle functional
materials in a solid phase. The fracture process is driven by the confined laser-matter …

This paper provides solutions for the stress and displacement fields induced in a half-space
by an edge dislocation of constant magnitude, where the dislocation line is a circular ring …

The paper presents benchmark solutions for problems involving axisymmetric cracks in
infinite and semi-infinite elastic domains. The solutions are obtained by means of three …

Elastic reciprocity and geometric symmetry are used to constrain the expressions for
stresses due to introduction of line dislocations near a half-space surface. Specifically, a …