Hierarchic finite elements for thin plates and shells

• Autorzy: Chinosi C. , Della Croce L. , Scapolla T.
• Konferencja: Conference on Numerical Method in Continuum Mechanics (6 ; 16-18.09.1996 ; Stará Lesná, Słowacja)
• Języki publikacji: EN

Abstrakty

EN

We consider the numerical approximation of thin plate and shell structures. The plate model is described following the Reissner -Mindlin assumptions while the shell is described using the Naghdi formulation. It is well known that the numerical approximation with standard finite elements suffers of the so-called locking phenomenon, i. e., the numerical solution degenerates as the thickness of the structure becomes smaller. Plates exhibit shear locking and shells show both shear and membrane locking. Several techniques to avoid the numerical locking have been proposed. Here we solve the problems using a family of high order hierarchic finite elements. We present several numerical results that show the robustness of the finite elements, able to avoid in many circumstances the locking behavior.

Słowa kluczowe

EN

plate; shell; finite element method

PL

płyta; powłoka; metoda elementów skończonych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 1998
• Tom: Vol. 5, nr 2
• Strony: 151--160
• Opis fizyczny: Biblogr. 17 poz., rys., tab., wykr.

Twórcy

autor

Chinosi C.

• Dipartimento di Matematica, Universita di Pavia, I-27100 Pavia, Italy

autor

Della Croce L.

• Dipartimento di Matematica, Universita di Pavia, I-27100 Pavia, Italy

autor

Scapolla T.

• Dipartimento di Matematica, Universita di Pavia, I-27100 Pavia, Italy

Bibliografia

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