A proposed set of popular limit-point buckling benchmark problems
暂无分享,去创建一个
[1] F S Manuel,et al. LARGE DEFLECTIONS AND STABILITY OF ELASTIC FRAMES , 1968 .
[2] A. A. Fernandes,et al. Analysis of 3D problems using a new enhanced strain hexahedral element , 2003 .
[3] E. Stein,et al. A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains , 1996 .
[4] Egor P. Popov,et al. Nonlinear Buckling Analysis of Sandwich Arches , 1971 .
[5] Alain Combescure,et al. SHB8PS––a new adaptative, assumed-strain continuum mechanics shell element for impact analysis , 2002 .
[6] Marc D. Killpack,et al. Limit-point buckling analyses using solid, shell and solid-shell elements , 2011 .
[7] C. Pearson. General theory of elastic stability , 1956 .
[8] Martti Mikkola,et al. Tracing the Equilibrium Path beyond Compound Critical Points , 1999 .
[9] Jong Hoon Kim,et al. A three-node C0 ANS element for geometrically non-linear structural analysis , 2002 .
[10] Adnan Ibrahimbegovic,et al. Quadratically convergent direct calculation of critical points for 3d structures undergoing finite rotations , 2000 .
[11] R. L. Harder,et al. A proposed standard set of problems to test finite element accuracy , 1985 .
[12] W. Smoleński. Statically and kinematically exact nonlinear theory of rods and its numerical verification , 1999 .
[13] S. Timoshenko. Theory of Elastic Stability , 1936 .
[14] J. Chróścielewski,et al. Genuinely resultant shell finite elements accounting for geometric and material non-linearity , 1992 .
[15] Chahngmin Cho,et al. Stability analysis using a geometrically nonlinear assumed strain solid shell element model , 1998 .
[16] R. Hauptmann,et al. A SYSTEMATIC DEVELOPMENT OF 'SOLID-SHELL' ELEMENT FORMULATIONS FOR LINEAR AND NON-LINEAR ANALYSES EMPLOYING ONLY DISPLACEMENT DEGREES OF FREEDOM , 1998 .
[17] W. T. Koiter. THE STABILITY OF ELASTIC EQUILIBRIUM , 1970 .
[18] Yong Hyup Kim,et al. A predictor–corrector method for structural nonlinear analysis , 2001 .
[19] Conditions suffisantes de stabilité pour les solides visqueux , 1999 .
[20] F. Abed-Meraim,et al. A quasi-static stability analysis for Biot's equation and standard dissipative systems , 2007 .
[21] K. Y. Sze,et al. A stabilized hybrid-stress solid element for geometrically nonlinear homogeneous and laminated shell analyses , 2002 .
[22] E. Riks. An incremental approach to the solution of snapping and buckling problems , 1979 .
[23] Miran Saje,et al. A quadratically convergent algorithm for the computation of stability points: The application of the determinant of the tangent stiffness matrix , 1999 .
[24] M. Crisfield. A FAST INCREMENTAL/ITERATIVE SOLUTION PROCEDURE THAT HANDLES "SNAP-THROUGH" , 1981 .
[25] Sven Klinkel,et al. A geometrical non‐linear brick element based on the EAS‐method , 1997 .
[26] A. Combescure,et al. New prismatic solid-shell element : Assumed strain formulation and hourglass mode analysis , 2011 .
[27] Antoine Legay,et al. Elastoplastic stability analysis of shells using the physically stabilized finite element SHB8PS , 2003 .
[28] Bernard Budiansky,et al. Theory of buckling and post-buckling behavior of elastic structures , 1974 .
[29] Hamid Zahrouni,et al. Bifurcation points and bifurcated branches by an asymptotic numerical method and Padé approximants , 2004 .
[30] Guan-Yuan Wu,et al. A mixed 8-node hexahedral element based on the Hu-Washizu principle and the field extrapolation technique , 2004 .
[31] K. D. Kim,et al. A resultant 8-node solid-shell element for geometrically nonlinear analysis , 2005 .
[32] Ekkehard Ramm,et al. Strategies for Tracing the Nonlinear Response Near Limit Points , 1981 .
[33] Alain Combescure,et al. An improved assumed strain solid–shell element formulation with physical stabilization for geometric non‐linear applications and elastic–plastic stability analysis , 2009 .
[34] K. Y. Sze,et al. Popular benchmark problems for geometric nonlinear analysis of shells , 2004 .
[35] Peter Wriggers,et al. A simple method for the calculation of postcritical branches , 1988 .
[36] Anders Eriksson,et al. Numerical analysis of complex instability behaviour using incremental-iterative strategies , 1999 .
[37] Peter Wriggers,et al. A general procedure for the direct computation of turning and bifurcation points , 1990 .
[38] Stefanie Reese,et al. A large deformation solid‐shell concept based on reduced integration with hourglass stabilization , 2007 .
[39] Jeong Whan Yoon,et al. A new one‐point quadrature enhanced assumed strain (EAS) solid‐shell element with multiple integration points along thickness—part II: nonlinear applications , 2006 .
[40] Brian L. Wardle. Solution to the Incorrect Benchmark Shell-Buckling Problem , 2008 .
[41] H. Weinitschke. On the calculation of limit and bifurcation points in stability problems of elastic shells , 1985 .
[42] Ernest F. Masur,et al. Buckling of Shallow Arches , 1966 .
[43] Brian Wardle. The Incorrect Benchmark Shell Buckling Solution , 2006 .
[44] Robert Schmidt,et al. Instability of Clamped-Hinged Circular Arches Subjected to a Point Load , 1975 .