4.7.3 Test 2.1: Single edge cracked plate in tension

Product: ABAQUS/Standard  

Elements tested

CPE8    CPE8R   

Problem description

Mesh:

Collapsed elements with 1/4 point midside nodes are used at the crack tip. Half of the test geometry is modeled. A coarse and a fine mesh are tested.

Material:

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

Boundary conditions:

along edge ED, at point D.

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 2.1 from NAFEMS publication “2D Test Cases in Linear Elastic Fracture Mechanics,” R0020.

Target solution: K/K = 3.0, 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 TypeCoarse MeshFine Mesh
CPE82.911 (–2.95%)3.007 (+0.25%)
CPE8R2.938 (–2.08%)3.008 (+0.26%)

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

nlf21f8c.inp

CPE8 elements, coarse mesh.

nlf21f8f.inp

CPE8 elements, fine mesh.

nlf21r8c.inp

CPE8R elements, coarse mesh.

nlf21r8f.inp

CPE8R elements, fine mesh.