Application of a particle-in-cell method to solid mechanics

作者: Deborah Sulsky , Shi-Jian Zhou , Howard L. Schreyer

DOI: 10.1016/0010-4655(94)00170-7

关键词: Eulerian pathConstitutive equationParticle-in-cellDeformation (mechanics)Solid mechanicsMathematical analysisGridMaterial point methodMathematicsPoint (geometry)Classical mechanics

摘要: Abstract An extension to solid mechanics of the FLIP particle-in-cell method is presented. The uses two representations continuum, one based on a collection material points and other computational grid. are followed throughout deformation provide Lagrangian description that not subject mesh tangling. This feature permits constitutive equations with history-dependent variables be applied at these no requirement for mapping history parameters from point another. A grid, which can held fixed or adapted as need arises, used determine spatial gradients. Since grid an updated frame, nonlinear convection term associated Eulerian formulations does appear. With use maps between advantages both schemes utilized. No-slip impact bodies, inelastic, elastic, rigid, handled automatically by without resorting special contact algorithm.

参考文章(17)
M.W. Heinstein, F.J. Mello, J.W. Swegle, S.W. Attaway, Coupling of smooth particle hydrodynamics with PRONTO ,(1993)
Larry D. Libersky, Albert G. Petschek, Theodore C. Carney, Jim R. Hipp, Firooz A. Allahdadi, High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response Journal of Computational Physics. ,vol. 109, pp. 67- 75 ,(1993) , 10.1006/JCPH.1993.1199
W. W. Predebon, C. E. Anderson, J. D. Walker, Inclusion of evolutionary damage measures in Eulerian wavecodes Computational Mechanics. ,vol. 7, pp. 221- 236 ,(1991) , 10.1007/BF00370037
Mark L. Wilkins, Michael W. Guinan, Impact of cylinders on a rigid boundary Journal of Applied Physics. ,vol. 44, pp. 1200- 1206 ,(1973) , 10.1063/1.1662328
D. Burgess, D. Sulsky, J.U. Brackbill, Mass matrix formulation of the FLIP particle-in-cell method Journal of Computational Physics. ,vol. 103, pp. 1- 15 ,(1992) , 10.1016/0021-9991(92)90323-Q
J.U. Brackbill, On modelling angular momentum and vorticity in compressible fluid flow Computer Physics Communications. ,vol. 47, pp. 1- 16 ,(1987) , 10.1016/0010-4655(87)90063-4
J.U. Brackbill, H.M. Ruppel, FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions Journal of Computational Physics. ,vol. 65, pp. 314- 343 ,(1986) , 10.1016/0021-9991(86)90211-1
J.U. Brackbill, D.B. Kothe, H.M. Ruppel, Flip: A low-dissipation, particle-in-cell method for fluid flow Computer Physics Communications. ,vol. 48, pp. 25- 38 ,(1988) , 10.1016/0010-4655(88)90020-3
D. Sulsky, Z. Chen, H.L. Schreyer, A particle method for history-dependent materials Computer Methods in Applied Mechanics and Engineering. ,vol. 118, pp. 179- 196 ,(1994) , 10.1016/0045-7825(94)90112-0