Mechanical Engineering Faculty Research

Title

Computational Analysis to Assess the Influence of Specimen Geometry on Cleavage Fracture Toughness of Metallic Materials

Document Type

Article

Publication Date

3-2010

Abstract

The fracture response of mild steel in the domain of brittle behavior, i.e., the cleavage range, has been carefully evaluated using a weakest link statistical model, assuming the existence of a distribution of cracked carbide particles in the microstructures. Experiments have provided an evidence of both scatter in test results and the existence of constraints. Statistical-based model to include micromechanics were developed in an attempt to study and analyze the problem. The Weibull stress micro-mechanical model was used in this study to quantify the constraint effects. This was done numerically using a constraint function (g(M)) derived from the Weibull stress model. The non-dimensional function (g(M)) describes the evolution of the effects of constraint loss on fracture toughness relative to the reference condition, i.e., plane-strain, small scale yielding (SSY) (T-stress = 0). Single-edge SE(B) notched bending specimens having different crack lengths, different cross-sections and side-grooves were modeled and the constraint function (g(M)) was calculated. In this paper, we compare the loss in constraint for both the deep notch and shallow notch specimens for a given cross-section of the single-edge notched bend specimen (SE(B)).

Publication Title

Neutral, Parallel, and Scientific Computations

Volume

18

Issue

1

First Page

33

Last Page

46