4.7.8 Test 7.1: T-joint weld attachment

Product: ABAQUS/Standard

Elements tested

CPE8 CPE8R

Problem description

Mesh:

Collapsed elements with 1/4 point midside nodes are used at the crack tip. The full test geometry is modeled.

Material:

Young's modulus = 207 GPa, Poisson's ratio = 0.3.

Boundary conditions:

along edge AB and CD, along edge CD.

Loading:

Uniform stress, = 100 N/mm².

Reference solution

This is a test recommended by the National Agency for Finite Element Methods and Standards (U.K.): Test 7.1 from NAFEMS publication “2D Test Cases in Linear Elastic Fracture Mechanics,” R0020.

Target solution: K/K = 1.317, K =

Results and discussion

The results are shown in the following table. The values enclosed in parentheses are percentage differences with respect to the reference solution.

Element Type	K/K
CPE8	1.327 (+0.78%)
CPE8R	1.329 (+0.88%)

Remarks

K = . An average of the J values calculated by ABAQUS, excluding the first contour, is used in reporting the results. Experience has shown that the crack-tip elements do not give sufficiently accurate results to give good estimates of the J-integral for the first contour.

Input files

nlf71f8x.inp

CPE8 elements.

nlf71r8x.inp

CPE8R elements.