Wx. Zhu et Dj. Smith, ON THE USE OF DISPLACEMENT EXTRAPOLATION TO OBTAIN CRACK-TIP SINGULARSTRESSES AND STRESS INTENSITY FACTORS, Engineering fracture mechanics, 51(3), 1995, pp. 391-400
A displacement extrapolation method is developed which can be used to
obtain crack tip singular stresses and stress intensity factors using
only nodal displacements in the first layer of elements around the cra
ck tip. A major benefit with this technique is that no analytical solu
tions are required. The triangular quarter-point elements are used aro
und the crack tip to obtain nodal displacements with sufficient accura
cy. Three geometries are considered: a single edge crack, a central cr
ack and double edge crack. Two loading types are used: uniaxial tensio
n and uniform pressure on the crack surface. Excellent results for sin
gular stresses and displacements are obtained for Mode I crack problem
s.