Finite-strain three-dimensional solids with rotational degrees of freedom: non-linear statics and dynamics
نویسندگان
چکیده
منابع مشابه
Finite-strain three-dimensional solids with rotational degrees of freedom: non-linear statics and dynamics
In this paper we seek refined yet efficient computational models of large overall motion in statics and dynamics. The efficiency is achieved by the proposed model of 8-node brick element with rotational degrees of freedom which allows to separate large displacements and large rotations. The independent rotation field leads to an intrinsic representation of the rotation tensor, ensuring a smooth...
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For a finite group $G$ and a subgroup $H$ of $G$, the relative commutativity degree of $H$ in $G$, denoted by $d(H,G)$, is the probability that an element of $H$ commutes with an element of $G$. Let $mathcal{D}(G)={d(H,G):Hleq G}$ be the set of all relative commutativity degrees of subgroups of $G$. It is shown that a finite group $G$ admits three relative commutativity degrees if a...
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A general approach to the dimensional reduction of non-linear finite element models of solid dynamics is presented. For the Newmark implicit time-discretization, the computationally most expensive phase is the repeated solution of the system of linear equations for displacement increments. To deal with this, it is shown how the problem can be formulated in an approximation (Ritz) basis of much ...
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چکیده ندارد.
15 صفحه اولVariational Integrators for Dynamical Systems with Rotational Degrees of Freedom
For the elastodynamic simulation of a geometrically exact beam, a variational integrator is derived from a PDE viewpoint. Variational integrators are symplectic and conserve discrete momentum maps and since the presented integrator is derived in the Lie group setting (unit quaternions for the representation of rotational degrees of freedom), it intrinsically preserves the group structure withou...
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ژورنال
عنوان ژورنال: Advanced Modeling and Simulation in Engineering Sciences
سال: 2017
ISSN: 2213-7467
DOI: 10.1186/s40323-017-0089-9