The numerical manifold method for crack modeling of two-dimensional functionally graded materials under thermal shocks. (1st March 2019)

• Record Type: Journal Article
• Authors: Zhang, H.H.; Liu, S.M.; Han, S.Y.; Fan, L.F.
• Is Part Of: Engineering fracture mechanics. Volume 208(2019)
• Page Start: 90
• Page End: 106
• Publication Date: 2019-03-01
• Subjects: Numerical manifold method -- Functionally graded materials -- Thermal shock crack -- Transient temperature -- Thermal stress intensity factors; Fracture mechanics -- Periodicals; Rupture, Mécanique de la -- Périodiques; Fracture mechanics; Periodicals; 620.112605
• DOI: 10.1016/j.engfracmech.2019.01.002
• Languages: English
• ISSNs: 0013-7944

Abstract

Graphical abstract: Highlights: Thermal shock fracture of 2D FGMs is modeled with numerical manifold method. Discontinuity and singularity of physical fields around the crack are well captured. The transient thermal stress intensity factors are computed by interaction integral. Our results are in nice agreement with the available reference solutions. Main influencing factors on the TSIFs of the cracked FGMs are investigated. Abstract: Profiting from its bi-cover systems, i.e., the mathematical cover and the physical cover, the numerical manifold method (NMM) is superior in crack modeling. In this work, the NMM is further extended to study thermal shock fracture behavior of two-dimensional functionally graded materials (FGMs). The discontinuity of temperature and displacement fields across crack surface is naturally represented by the NMM, while the singularity of the heat fluxes and stresses at the crack tip is captured through the use of associated asymptotic terms in the NMM local functions. The temperatures are firstly obtained through transient heat transfer simulation and then stepwisely imported into the thermoelastic counterpart to compute the mechanical quantities. The thermal stress intensity factors (TSIFs) are obtained through the domain-independent interaction integral. For verification, several numerical examples with increasing complexity are tested and the NMM results match well with the available published solutions. Moreover, the influences of the material gradation of the FGMs and the crack geometries on the TSIFs are also revealed.