Nonlinear Plate Theory for Postbuckling Behaviour of Thin-Walled Structures Under Static and Dynamic Load

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[1]  Tomasz Kubiak,et al.  Estimation of dynamic buckling for composite columns with open cross-section , 2011 .

[2]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[3]  W. T. Koiter,et al.  An Alternative Approach to the Interaction between Local and Overall Buckling in Stiffened Panels , 1976 .

[4]  J. Bernoulli,et al.  Abhandlungen über das Gleichgewicht und die Schwingungen der ebenen elastischen Kurven , 1910 .

[5]  Zbigniew Kolakowski.  Interactive buckling of thin-walled beam-columns with open and closed cross-sections , 1993 .

[6]  Hong Hao,et al.  Numerical analysis of dynamic buckling of rectangular plates subjected to intermediate-velocity impact , 2001 .

[7]  R. Mania,et al.  Some Aspects Of Dynamic Buckling of Plates Under In-Plane Pulse Loading , 2008 .

[8]  Srinivasan Sridharan,et al.  Interactive Buckling in Thin‐Walled Beam‐Columns , 1985 .

[9]  J. Awrejcewicz,et al.  Asymptotical Mechanics of Thin-Walled Structures , 2004 .

[10]  George J. Simitses,et al.  Dynamic Stability of Suddenly Loaded Structures , 1989 .

[11]  Z. Kołakowski.  Some thoughtd on mode interaction in thin-walled columns under uniform compression , 1989 .

[12]  Andrzej Teter,et al.  Application of different dynamic stability criteria in case of columns with intermediate stiffeners , 2010 .

[13]  L. Czechowski.  Dynamic Stability of Rectangular Orthotropic Plates Subjected to Combined In{plane Pulse Loading in the Elasto{plastic Range , 2008 .

[14]  W. T. Koiter,et al.  ELASTIC STABILITY AND POST-BUCKLING BEHAVIOUR , 2001 .

[15]  Bernard Budiansky,et al.  DYNAMIC BUCKLING OF ELASTIC STRUCTURES: CRITERIA AND ESTIMATES**This work was supported in part by the National Aeronautics and Space Administration under Grant NsG-559, and by the Division of Engineering and Applied Physics, Harvard University , 1967 .

[16]  Angelo Luongo,et al.  On the effect of the local overall interaction on the postbuckling of uniformly compressed channels , 1985 .

[17]  Zbigniew Kolakowski,et al.  Interactive dynamic buckling of orthotropic thin-walled channels subjected to in-plane pulse loading , 2007 .

[18]  Srinivasan Sridharan,et al.  An improved interactive buckling analysis of thin-walled columns having doubly symmetric sections , 1986 .

[19]  D Petry,et al.  Dynamic buckling of thin isotropic plates subjected to in-plane impact , 2000 .

[20]  J. Dormand,et al.  High order embedded Runge-Kutta formulae , 1981 .

[21]  Judah Ari-Gur,et al.  Dynamic pulse buckling of rectangular composite plates , 1997 .

[22]  Tomasz Kubiak,et al.  Dynamic buckling of thin-walled composite plates with varying widthwise material properties , 2005 .

[23]  Radoslaw J. Mania,et al.  Dynamic buckling of thin-walled viscoplastic columns , 2011 .

[24]  Jan Awrejcewicz,et al.  Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells , 2002 .

[25]  R. Grammel.  Eleventh international congress of applied mechanics , 1963 .

[26]  Tomasz Kubiak,et al.  Postbuckling behaviour of thin-walled girders with orthotropy varying widthwise , 2001 .

[27]  John W. Hutchinson,et al.  Dynamic buckling estimates. , 1966 .

[28]  K. Kowal.  About Some Important Parameters in Dynamic Buckling Analysis of Plated Structures Subjected to Pulse Loading , 2010 .

[29]  P. Goltermann,et al.  Interactive buckling in thin-walled beams—II. Applications , 1989 .

[30]  Esben Byskov,et al.  Elastic buckling with infinitely many local modes , 1987 .

[31]  Angelo Luongo,et al.  Asymmetric interactive buckling of thin-walled columns with initial imperfections , 1987 .

[32]  Srinivasan Sridharan,et al.  Mode Interaction in Thin-Walled Structural Members∗ , 1984 .

[33]  Kolakowski Zbigniew,et al.  Influence of modification of boundary conditions on load carrying capacity in thin-walled columns in the second order approximation , 1993 .

[34]  Srinivasan Sridharan,et al.  A versatile model for interactive buckling of columns and beam-columns , 1988 .

[35]  Zbigniew Kolakowski,et al.  Natural frequencies of a thin-walled structures with central intermediate stiffeners or/and variable thickness , 2003 .

[36]  M. B. Bever,et al.  Concise encyclopedia of composite materials , 1989 .

[37]  John W. Hutchinson,et al.  Dynamic buckling of imperfection-sensitive structures , 1966 .

[38]  Jacob Aboudi,et al.  The Lyapunov exponents as a quantitative criterion for the dynamic buckling of composite plates , 2002 .

[39]  T. Kubiak.  Criteria of dynamic buckling estimation of thin-walled structures , 2007 .

[40]  A. Teter.  Dynamic critical load based on different stability criteria for coupled buckling of columns with stiffened open cross-sections , 2011 .

[41]  George J. Simitses,et al.  Instability of Dynamically-Loaded Structures , 1987 .

[42]  K. Kowal-Michalska,et al.  Behaviour of composite columns of closed cross-section under in-plane compressive pulse loading , 2007 .

[43]  Chiara Bisagni,et al.  Dynamic buckling of fiber composite shells under impulsive axial compression , 2005 .

[44]  A. Kounadis,et al.  Nonlinear dynamic buckling of multi-DOF structural dissipative systems under impact loading , 1997 .