Extended isogeometric analysis for simulation of stationary and propagating cracks

By Seyed Shahram Ghorashi, Navid Valizadeh, Soheil Mohammadi. 2012

258 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials, Safety, Risk, Reliability and Quality

View Paper: https://www.semanticscholar.org/paper/54259b35958150bd314596f4a575ff2fd628ba8b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Stéphane P.A. Bordas
2. Timon Rabczuk
3. Pierre Kerfriden
4. Tinh Quoc Bui
5. Hung Nguyen-Xuan
6. Cosmin Anitescu
7. Trung Nguyen-Thoi
8. Vinh Phu Nguyen

In Mechanics of Materials

1. Timon Rabczuk
2. Stéphane P.A. Bordas
3. Tinh Quoc Bui
4. Pierre Kerfriden
5. Hung Nguyen-Xuan
6. Tiantang Yu
7. Trung Nguyen-Thoi
8. Vinh Phu Nguyen

In Safety, Risk, Reliability and Quality

1. Timon Rabczuk
2. Tiantang Yu
3. Satoyuki Tanaka
4. Stéphane P.A. Bordas
5. Shuohui Yin
6. Thom Van Do
7. Duc Hong Doan
8. Cheng‐Tang Wu

Citations in the corpus

• Meshfree Methods: Progress Made after 20 Years (2017, unknown): “…Chen 2016); (cid:129) WLS: weighted least squares; (cid:129) XEFG: extended EFG (Rabczuk and Areias 2006; Rabczuk et al. 2007i); (cid:129) XFEM: extended finite element method (Belytschko and Black 1999; Moës et al. 1999); and (cid:129) XIGA: extended IGA (Benson et al. 2010; Ghorashi et al. 2012).”
• On the thermal buckling analysis of functionally graded plates with internal defects using extended isogeometric analysis (2016, methodology): “Similar to the XFEM, the standard IGA approximation is enriched with some special functions around the discontinuities in the framework of partition of unity to create a novel method, namely, the so-called extended isogeometric analysis (XIGA) [20,25].”
• Isogeometric analysis: An overview and computer implementation aspects (2012, methodology): “As a variation of the eXtended Finite Element Method (XFEM) [84], IGA was applied to Linear Elastic Fracture Mechanics (LEFM) using the partition of unity method (PUM) to capture two dimensional strong discontinuities and crack tip singularities efficiently [34, 51].”
• Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth (2017, methodology): “Although the finite element version of IGA was used for fracture analysis [58–61].”
• Enhancement of the material point method using B‐spline basis functions (2018, unknown): “xkþ1 p 1⁄4 xp þ Δt∑ i N i;j ð Þ; p;q ð Þ xp vij ð Þ (20)”