The collapsed cubic isoparametric element as a ingular element for crack probblems

Autor:	S. L. Pu, W. E. Lorensen, M. A. Hussain
Rok vydání:	1978
Předmět:	Numerical Analysis Engineering Quadrilateral business.industry Applied Mathematics General Engineering Crack tip opening displacement Geometry Fast inverse square root Quadratic equation Singularity General purpose business Stress intensity factor
Zdroj:	International Journal for Numerical Methods in Engineering. 12:1727-1742
ISSN:	1097-0207 0029-5981
Popis:	For the 12−node quadrilateral isoparametric elements, it is shown that the inverse square root singularity of the strain field at the crack tip can be obtained by the simple technique of collapsing the quadrilateral elements into triangular elements around the crack tip and placing the two side nodes of each side of the triangles at 1/9 and 4/9 of the length of the side from the tip. This is analogous to placing the mid−side nodes at quarter points in the vicinity of the crack tip for the quadratic isoparametric elements. The advantages of this method are that the displacement compatibility is satisfied throughout the region and that there is no need of special crack tip elements. The stress intensity factors can be accurately obtained by using general purpose programs having isoparametric elements such as NASTRAN.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d840276a733e8af0c6e635f2a94abaa5 https://doi.org/10.1002/nme.1620121110 Zobrazit plný text záznamu Plný text