Naslov
Finite element formulation of the finite rotation solid element

Autori
Kožar, Ivica ; Ibrahimbegović, Adnan

Izvornik
Finite Elements in Analysis and Design (0168-874X) 20 (1995), 2; 101-126

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
finite element; solid; finite rotation

Sažetak
The paper describes the development of an 8-node solid finite element capable of undergoing both large displacements and large rotations. The constitutive law chosen is for an elastic material. The element is developed on a sound variational basis. The incompatible modes are employed to produce a ‘ locking’ free performance. The operator split method is employed in solving the equilibrium equations which resulted in minimal secondary storage requirements. The rotation vector is chosen as a parametrization of large rotations and, as a consequence, the stiffness matrix obtained by the consistent linearization is a symmetric one. Also, the rotation vector is expressed in a unique way so that it can be additively composed and the update procedure is the simplest one possible. In order to improve the behavior of the element for rotations exceeding 2π , we have somewhat modified the total Lagrangian formulation to allow for incremental rotations to appear. The correctness of the procedure is proved with a set of numerical examples.

Izvorni jezik
Engleski

Znanstvena područja
Temeljne tehničke znanosti

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