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

被引：16

作者：

Videla, Javier ^{[1
,3
]}

Contreras, Felipe ^{[1
]}

Nguyen, Hoang X. ^{[2
]}

Atroshchenko, Elena ^{[1
,3
]}

机构：

[1] Univ Chile, Dept Mech Engn, Santiago 8370448, Chile

[2] Northumbria Univ, Dept Mech & Construct Engn, Newcastle Upon Tyne NE1 8ST, Tyne & Wear, England

[3] Univ New South Wales, Sch Civil & Environm Engn, Sydney, NSW, Australia

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2020年 / 361卷

关键词：

Kirchhoff-Love plate theory; Fracture mechanics; Extended isogeometric analysis; Recovery-based error estimates; PHT-splines; Adaptive refinement; EXTENDED FINITE-ELEMENT; SUPERCONVERGENT PATCH RECOVERY; STRESS INTENSITY FACTORS; ISOGEOMETRIC ANALYSIS; 3-DIMENSIONAL CRACK; BOUNDARY-CONDITIONS; LOCAL REFINEMENT; ERROR ESTIMATION; THIN PLATES; LEVEL SETS;

D O I：

10.1016/j.cma.2019.112754

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, we present an eXtended Geometry Independent Field approximaTion (X-GIFT) formulation for cracked Kirchhoff-Love plates. The plate geometry is modeled 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. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：33

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