4.7.9 Test 8.1: V-notch specimen 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. One-quarter of the test geometry is modeled.

Material:

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

Boundary conditions:

along edge CB, along edge AB.

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

Target solution: K/K = 2.74, 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 TypeK/K
CPE82.793 (+1.94%)
CPE8R2.794 (+1.97%)

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

nlf81f8x.inp

CPE8 elements.

nlf81r8x.inp

CPE8R elements.