Some remarks on the applicability of rectangular elements to plane strain boundary value problems

• Autorzy: Jarzębowski, A. , Maciejewski, A.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is the discussion on the applicability of some rectangular elements to plane strain boundary value problems. Four different elements were considered: 4-node, 5-node, Serendipity 8-node and Lagrangian 9-node. Two cases: the material layer loaded by a concentrated vertical force and the same layer loaded by a symmetrical rigid punch were discussed. An elastic material was used to avoid the influence of the constitutive model on solutions. To model interface behaviour on the contact surface a Coulomb friction condition was applied. The use of the 4- and 5-node elements resulted in the prediction of the 'island' pattern of stress and strain tensors distributions and their non-applicability was proved independently from the boundary condition. The 8-node element predicted erroneous distributions of nodal forces and should be avoided in the case of contact problems. Among the discussed group of elements only the 9-node element turned out to be applicable for boundary value problems under plane strain condition.

Słowa kluczowe

PL

warstwa elastyczna; wartość graniczna; elementy prostokątne

EN

elastic layer; boundary value; rectangular elements

• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1998
• Tom: Vol. 5, nr 3
• Strony: 299-309
• Opis fizyczny: Bibliogr. 13 poz., rys., wykr.

Twórcy

autor

Jarzębowski, A.

autor

Maciejewski, A.

• Polish Academy of Science, Institute of Fundamental Technological Research [Polska Akademia Naul, Instytut Podstawowych Problemów Techniki] ul. Świętokrzyska 21, 00-049 Warsaw, Poland