Collapsed 27 node Lagrangian element for three-dimensional stress intensity computations
UNSPECIFIED. (1999) Collapsed 27 node Lagrangian element for three-dimensional stress intensity computations. THEORETICAL AND APPLIED FRACTURE MECHANICS, 32 (3). pp. 189-201. ISSN 0167-8442Full text not available from this repository.
Considered are the details of a collapsed 27 node (singular) Lagrangian element for use in three-dimensional stress intensity factor calculations. The element is shown to capture both the 1/root r singularity near the front as required for linear elastic fracture mechanics and a 1/r singularity under a relaxed constraint for plastic fracture. It is shown that the radial and circumferential strains exhibit the singularity, but that direct strain along the front is zero, thus providing plane strain conditions. Of equal relevance is the quality of mesh at the front. For this we adopt a standard suite of elements comprising a number of singular 'wedge-shaped' elements around the crack tip in the form of a tube, with the major axis placed along the front. A number of three-dimensional fracture problems are analysed to demonstrate the accuracy and efficiency of the collapsed element, even when used with moderate mesh sizes. (C) 1999 Elsevier Science Ltd. All rights reserved.
|Item Type:||Journal Article|
|Subjects:||T Technology > TJ Mechanical engineering and machinery|
|Journal or Publication Title:||THEORETICAL AND APPLIED FRACTURE MECHANICS|
|Publisher:||ELSEVIER SCIENCE BV|
|Official Date:||November 1999|
|Number of Pages:||13|
|Page Range:||pp. 189-201|
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