EXPLICIT SIMULATIONS WITH REDUCED INTEGRATION SOLID-SHELL ELEMENTS: STABILIZATION AND SELECTIVE MASS SCALING

EXPLICIT SIMULATIONS WITH REDUCED INTEGRATION SOLID-SHELL ELEMENTS: STABILIZATION AND SELECTIVE MASS SCALING

Pagani, M.; Perego, U.; Reese, S.

Full Article:

Explicit approaches are usually preferred for the simulation of thin walled structural problems, which are often highly nonlinear due to large deformations and possible material inelasticity. Solid-shell elements can describe the correct thickness geometry and are therefore more suitable than standard shell elements for the implementation of complex 3D material models. However, they include a too simple kinematic formulation leading to artificial stiffening phenomena called locking. To overcome this problem computationally expensive corrections, e.g. introducing enhanced strains, are required which suggest the use of reduced integration with hourglass stabilization. Furthermore, a high element maximum eigenfrequency is implied by the small thickness, leading to overly small stable time-steps. These two issues are addressed in this paper where a stabilized reduced integration solidshell element and a selective mass scaling technique for the reduction of the maximum eigenfrequency are proposed.

Explicit approaches are usually preferred for the simulation of thin walled structural problems, which are often highly nonlinear due to large deformations and possible material inelasticity. Solid-shell elements can describe the correct thickness geometry and are therefore more suitable than standard shell elements for the implementation of complex 3D material models. However, they include a too simple kinematic formulation leading to artificial stiffening phenomena called locking. To overcome this problem computationally expensive corrections, e.g. introducing enhanced strains, are required which suggest the use of reduced integration with hourglass stabilization. Furthermore, a high element maximum eigenfrequency is implied by the small thickness, leading to overly small stable time-steps. These two issues are addressed in this paper where a stabilized reduced integration solidshell element and a selective mass scaling technique for the reduction of the maximum eigenfrequency are proposed.

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DOI: 10.5151/meceng-wccm2012-18821

Referências bibliográficas

• [1] Abed-Meraim F., Combescure A., “An improved assumed strain solid-shell element formulation with physical stabilization for geometric non-linear applications and elasticplastic stability analysis”, International Journal for Numerical Methods in Engineering., 80, 1640-1686,2009.
• [2] Schwarze M., Reese S., “A reduced-integration solid-shell finite element based on the EAS and the ANS concept - large deformation problems”. Int. J. Numer. Meth. Engng 85, 289-329, 2011.
• [3] Cardoso R.P.R., Yoon J.W., Mahardika M., Choudhry S., Alves de Sousa R.J., Fontes ValenteR.A., “Enhanced assumed strain (EAS) and assumed natural strain (ANS) methods for one-point quadrature solid-shell elements”, International Journal for Numerical Methods in Engineering 75, 156-187, 2008.
• [4] Pagani M., Reese S., Perego U., “Explicit simulation of forming processes using a novel solid-shell concept based on reduced integration”, Key Engineering Materials, 504-506, 425-430, 2012.
• [5] Olovsson L., Unosson M., Simonsson K. “Selective mass scaling for thin walled structures modeled with tri-linear solid elements”, Computational Mechanics,34(2), 134-136, 2004.
• [6] Cocchetti G., Pagani M., Perego U. “Selective mass scaling and critical time-step estimate for explicit dynamics analyses with solid-shell elements”, to appear, 2012.
• [7] Belytschko T., Lin J.I.,“Explicit algorithms for nonlinear dynamics of shells”, Computer Methods in Applied Mechanics and Engineering 42, 225-251, 1984.

Como citar:

Pagani, M.; Perego, U.; Reese, S.; "EXPLICIT SIMULATIONS WITH REDUCED INTEGRATION SOLID-SHELL ELEMENTS: STABILIZATION AND SELECTIVE MASS SCALING", p-2350-2361. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-18821