Application of PHT-splines in bending and vibration analysis of cracked Kirchhoff–Love plates

Abstract

In this work, we present an eXtended Geometry Independent Field approximaTion (X-GIFT) formulation for cracked Kirchhoff-Love plates. The plate geometry is modelled by Non-Uniform Rational B-Splines (NURBS) while the solution is approximated by Polynomial Splines over Hierarchical T-meshes (PHT-splines) and enriched by the Heaviside function and crack tip asymptotic expansions. The adaptive refinement is driven by a recovery-based error estimator. The formulation is employed for bending and vibration analysis. We compare different strategies for refinement, enrichment and evaluation of fracture parameters. The obtained results are shown to be in a good agreement with the reference solutions.

NURBS-Enhanced Meshfree Method with an Integration Subtraction Technique for Complex Topology

“…Furthermore, many other spline methods are promoted to overcome the drawback of tensor product requirement of NURBS, i.e., T-splines, PHT-splines, LHB-splines, etc. [14][15][16]. However, once the shape boundary or topology of an analysis domain is changed, the complicated mesh process needs to be performed again, and the global stiffness matrix needs to be partially corrected both in value and in size.…”