Solid finite elements suitable for simulating large...

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

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Reexamination Certificate

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08050897

ABSTRACT:
System and method of simulating large deformation and rotation of a structure in a finite element analysis used for improving structural design is disclosed. A solid finite element is configured for simulating large deformations and/or rotations of a structure. The solid finite element comprises only corner nodes with each node having six degrees-of-freedom (DOF), three translational and three rotational. In other words, each node is configured to include translational deformation and rotation deformation, each of the translational and rotational deformation has three components corresponding to one of the six DOFs. The solid finite element has a plurality of external edges. Each external edge has two ends, each end is located at one of the adjacent corner nodes. Additionally, translational deformation at mid-edge point of each external edge is implicitly embedded in the translational and rotational deformations of two adjacent corner nodes.

REFERENCES:
patent: 2005234787 (2005-09-01), None
Shah M. Yunus et. al., “Solid Elements With Rotational Degrees of Freedom”, 1991, International Journal for numerical methods in engineering vol. 31, pp. 573-610.
Wan Cheng, “A Modified Shell Element Method for Determining 3D Large Strain Distributions in Sheet Metal Stamping”, 1998, Communication in Numerical Method in Engineering, vol. 14, p. 519-527.
Daniel C. Ross et. al., Hybrid Finite Element-Modal Analysis of Jet Engine inlet Scattering, 1995, IEEE Transactions and Antennas and Propagation, vol. 43, No. 3, pp. 277-285.
Teng; Solid Elements with Rotational Degree of Freedom for Grand Rotation Problems in LS-DYNA; 11th International LS-DYNA Conference; pp. 3-57 to 3-63; 2010.

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