Fracture mechanics analysis of functionally graded materials using a mixed collocation element differential method

Lv, Jun; Zheng, Minghui; Xu, Bing‐Bing; Zheng, Yong-Tong; Gao, Xiao‐Wei

doi:10.1016/j.engfracmech.2020.107510

Cited by 6 publications

(2 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For this reason, the free elements used should have at least one internal node. In principle, any type of isoparametric elements with internal nodes can be utilized in SFrEM analysis [54][55][56]. For example, Figure 8 shows new types of quadratic triangular and tetrahedral elements [55] and Figure 9 shows a 21-noded block element [15].…”

Section: Strong-form Free Element Methods (Sfrem)mentioning

confidence: 99%

Overview of Advanced Numerical Methods Classified by Operation Dimensions

Gao

Jiang

et al. 2023

Aerosp. Res. Commun.

Self Cite

View full text Add to dashboard Cite

In this article, the progress of frequently used advanced numerical methods is presented. According to the discretisation manner and manipulation dimensionality, these methods can be classified into four categories: volume-, surface-, line-, and point-operations–based methods. The volume-operation–based methods described in this article include the finite element method and element differential method; the surface-operation–based methods consist of the boundary element method and finite volume method; the line-operation–based methods cover the finite difference method and finite line method; and the point-operation–based methods mainly include the mesh free method and free element method. These methods have their own distinctive advantages in some specific disciplines. For example, the finite element method is the dominant method in solid mechanics, the finite volume method is extensively used in fluid mechanics, the boundary element method is more accurate and easier to use than other methods in fracture mechanics and infinite media, the mesh free method is more flexible for simulating varying and distorted geometries, and the newly developed free element and finite line methods are suitable for solving multi-physics coupling problems. This article provides a detailed conceptual description and typical applications of these promising methods, focusing on developments in recent years.

show abstract

Section: Strong-form Free Element Methods (Sfrem)mentioning

confidence: 99%

Overview of Advanced Numerical Methods Classified by Operation Dimensions

Gao

Jiang

et al. 2023

Aerosp. Res. Commun.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The main investigated parameters influencing the FGMs response were the effect of impact velocity, material parameters, and structural geometry. 27,28 For example, Petterson et al 29 evaluated the performances of armor structures composed of FGMs in terms of constituent's characterization effect, the procedure of elaboration and ballistic resistance. Huang and Chen 30 investigated the ballistic performance of a ceramic/ceramic (Al 2 O 3 /ZrO 2 ) functionally graded composite produced by powder metallurgy.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of the dynamic behavior of a Ti/TiB functionally graded material using Split Hopkinson Pressure Bar test

Zemani¹,

May²,

Gilson

et al. 2022

Journal of Composite Materials

View full text Add to dashboard Cite

This work focuses on the mechanical behavior, at high strain rates, of metal-ceramic functionally graded materials (FGMs) using a Split Hopkinson Pressure Bar (SHPB) technique. The validity and the accuracy of the SHPB test results for these composite materials have not been meticulously studied due to their complex mechanical response under dynamic loadings. In this paper, numerical simulations of SHPB tests were performed to determine the dynamic response of specific FGMs at various strain rates. The effects of the compositional gradient exponent and the striker velocity, as well as increasing/decreasing stiffness through the thickness of the functionally graded specimen, were investigated. The considered material is composed of Titanium mono-boride ceramic (TiB) and Titanium metal (Ti) phases; the volume fraction (Vc) of the ceramic constituent varies through-thickness following a power-law distribution. The locally effective material properties were evaluated using a homogenization method based on the self-consistent method (SCM). The elastoplastic behavior of the FGMs under dynamic loading is described using dynamic Tamura-Tomota-Ozawa model (DTTO). The numerical simulations indicated that the compositional gradient exponent and striker velocity have significant effects on the dynamic response of the FGMs. On the other hand, the increasing/decreasing stiffness has a minor effect due to the low thickness of the experimental functionally graded specimen. Finally, the effect of the high strain rates the multiple interface reflection/transmission of the stress wave is very considerable for the design and the optimization of FGMs behavior under dynamic loading.

show abstract

Cross-Line Method for Solving Heat Conduction Problems

Gao

2022

Lecture Notes in Mechanical Engineering

View full text Add to dashboard Cite

Fracture mechanics analysis of functionally graded materials using a mixed collocation element differential method

Cited by 6 publications

References 41 publications

Overview of Advanced Numerical Methods Classified by Operation Dimensions

Overview of Advanced Numerical Methods Classified by Operation Dimensions

Numerical investigation of the dynamic behavior of a Ti/TiB functionally graded material using Split Hopkinson Pressure Bar test

Cross-Line Method for Solving Heat Conduction Problems

Contact Info

Product

Resources

About