VM-WB-MECH-041

VM-WB-MECH-041
T-Stress Calculation for a Crack in a Plate Using Pre-Meshed Crack

Overview

Reference:

Fett, T. (2008). Stress Intensity Factors, T-Stresses, Weight Functions (pp. 151-152). Institute of Ceramics in Mechanical Engineering, University of Karlsruhe.

Solver(s):

Ansys Mechanical

Analysis Type(s): Static Analysis
Element Type(s): Solid

Test Case

A rectangular plate with a center crack is subjected to an end tensile load . Symmetry boundary conditions are considered and T-Stress is determined using Pre-Meshed Crack.

Figure 53: Two-Dimensional Fracture Problem Sketch

Two-Dimensional Fracture Problem Sketch

Material PropertiesGeometric PropertiesLoading

Young's Modulus (E) = 207000

Coefficient of friction () = 0.3

a = 10 mm

a / W = 0.2

H / W = 0.75

Tensile stress ()

= 100 MPa

Analysis Assumptions and Modeling Notes

The problem is solved using 2-D solid elements with plane-strain behavior. A one-quarter plate is modeled and symmetric boundary conditions are considered. The crack tip nodes and the number of paths surrounding the crack tip nodes are defined using Pre-Meshed Crack. The plate is subjected to a tensile stress and the T-Stress is computed for the crack tip nodes. The crack front and the path surrounding the crack front are defined using Pre-Meshed Crack.

Results Comparison

ResultTargetMechanicalError (%)
T-Stress-110 MPa-110.760 MPa0.691