Collapse of channel section composite profile subjected to bending. Part I: Numerical investigations

Abstract The paper deals with four-point bending tests of thin-walled channel section beams, made of eight-layer GFRP laminate. In the performed tests two scenarios were investigated: beams were bent in the plane with lowest second moment of area and beams were subjected to bending in the plane passing through the geometrical centre of the flanges of channel section profile and parallel to the plane with the highest second moment of area. Six arrangements of layers were analysed: [0/−45/45/90] S , [90/−45/45/0] S , [90/0/90/0] S , [0/90/0/90] S , [45/−45/45/−45] S , [45/−45/90/0] S . The experimental research was conducted with the use of the ultimate testing machine, additionally designed test stand and the digital image correlation system Aramis®. Numerical analyses have been performed in the Ansys® software, based on the finite element method. In geometrically nonlinear analysis two algorithms, indicating failure mechanisms, were applied: progressive failure analysis with material property degradation method and anisotropic Hill potential theory with assumption of perfect plasticity.

[1]  Dinar Camotim,et al.  GBT formulation to analyse the buckling behaviour of FRP composite open-section thin-walled columns , 2010 .

[2]  F. L. Matthews,et al.  A Progressive Damage Model for Mechanically Fastened Joints in Composite Laminates , 1999 .

[3]  Xiongqi Peng,et al.  A nonlocal finite element model for progressive failure analysis of composite laminates , 2016 .

[4]  Z. Kołakowski.  Static and dynamic interactive buckling of composite columns , 2009 .

[5]  Luciano Feo,et al.  An Eringen-like model for Timoshenko nanobeams , 2016 .

[6]  T. Kubiak,et al.  Local buckling and post-buckling of composite channel-section beams – Numerical and experimental investigations , 2016 .

[7]  Zbigniew Kolakowski,et al.  Investigations of fml profile buckling and post-buckling behaviour under axial compression , 2016 .

[8]  Tomasz Kubiak,et al.  Imperfection sensitivity of post-buckling of FML channel section column , 2017 .

[9]  R. Mania,et al.  Failure assessment of thin-walled FML profiles during buckling and postbuckling response , 2017 .

[10]  C. B. York.  Characterization of Nonsymmetric Forms of Fully Orthotropic Laminates , 2009 .

[11]  L. Feo,et al.  On the statical behaviour of fibre-reinforced polymer thin-walled beams , 2000 .

[12]  MJ Hinton,et al.  The background to the Second World-Wide Failure Exercise , 2012 .

[13]  Peter Middendorf,et al.  Low velocity impact on CFRP plates with compressive preload: Test and modelling , 2009 .

[14]  Yong C. Wang,et al.  An experimental study of pultruded glass fibre reinforced plastics channel columns at elevated temperatures , 2007 .

[15]  R. Luciano,et al.  Exact solutions of isotropic viscoelastic functionally graded Kirchhoff plates , 2014 .

[16]  L. Feo,et al.  Non-linear pre-buckling behavior of shear deformable thin-walled composite beams with open cross-section , 2013 .

[17]  Geminiano Mancusi,et al.  Pre-buckling behavior of composite beams: A mechanical innovative approach , 2014 .

[18]  R. Hill.  A theory of the yielding and plastic flow of anisotropic metals , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[19]  Rani Elhajjar,et al.  Effects of scratch damage on progressive failure of laminated carbon fiber/epoxy composites , 2013 .

[20]  H. Dębski,et al.  On buckling collapse and failure analysis of thin-walled composite lipped-channel columns subjected to uniaxial compression , 2014 .

[21]  L. Feo,et al.  The influence of the shear deformations on the local stress state of pultruded composite profiles , 2013 .

[22]  R. Luciano,et al.  Analogies between Kirchhoff plates and functionally graded Saint-Venant beams under torsion , 2015 .

[23]  C. York.  Coupled quasi-homogeneous orthotropic laminates , 2011 .

[24]  Erasmo Carrera,et al.  Large-deflection and post-buckling analyses of laminated composite beams by Carrera Unified Formulation , 2017 .

[25]  James Rhodes,et al.  Post-failure behaviour of box section beams under pure bending (an experimental study) , 2000 .

[26]  Z. Hashin.  Failure Criteria for Unidirectional Fiber Composites , 1980 .

[27]  J. Bieniaś,et al.  Influence of autoclaving process parameters on the buckling and postbuckling behaviour of thin-walled channel section beams , 2014 .

[28]  Radoslaw J. Mania,et al.  Multi-method approach for FML mechanical properties prediction , 2016 .

[29]  R. Hill.  Theoretical plasticity of textured aggregates , 1979, Mathematical Proceedings of the Cambridge Philosophical Society.

[30]  T. C. Chu,et al.  Three-dimensional displacement measurements using digital image correlation and photogrammic analysis , 1990 .

[31]  Viorel Ungureanu,et al.  Plastic mechanisms database for thin-walled cold-formed steel members in compression and bending , 2010 .

[32]  Nuno Silvestre,et al.  Experimental and numerical study on the structural behavior of eccentrically loaded GFRP columns , 2013 .

[33]  P. Soden,et al.  Recommendations for designers and researchers resulting from the world-wide failure exercise , 2004 .

[34]  Modeling shear deformability of thin-walled composite beams with open cross-section , 2010 .

[35]  Robert L. Taylor,et al.  A constitutive model for anisotropic damage in fiber-composites , 1995 .

[36]  Isaac M Daniel,et al.  Yield and failure criteria for composite materials under static and dynamic loading , 2016 .

[37]  Jean Lemaitre,et al.  Application of Damage Concepts to Predict Creep-Fatigue Failures , 1979 .

[38]  J. Bieniaś,et al.  Failure of GFRP channel section beams subjected to bending - Numerical and experimental investigations , 2017 .

[39]  H. Dębski,et al.  Buckling and postbuckling behaviour of thin-walled composite channel section column , 2013 .

[40]  N. Laws,et al.  Stiffness changes in unidirectional composites caused by crack systems , 1983 .

[41]  Frank Abdi,et al.  Progressive failure analysis of thin-walled composite structures , 2013 .

[42]  Ireneusz Lapczyk,et al.  Progressive damage modeling in fiber-reinforced materials , 2007 .

[43]  Andrzej Teter,et al.  Experimental and Numerical Study of the Buckling of Composite Profiles with Open Cross Section under Axial Compression , 2017, Applied Composite Materials.

[44]  Zbigniew Kolakowski,et al.  Load carrying capacity of functionally graded columns with open cross-sections under static compression , 2015 .

[45]  Hubert Debski,et al.  Failure analysis of thin-walled composite channel section columns , 2015 .

[46]  T. Kubiak,et al.  Load-carrying capacity of thin-walled composite beams subjected to pure bending , 2017 .

[47]  H. Dębski,et al.  Experimental investigation of channel-section composite profiles’ behavior with various sequences of plies subjected to static compression , 2013 .

[48]  Zbigniew Kolakowski,et al.  Semi-analytical method versus the FEM for analysis of the local post-buckling of thin-walled composite structures , 2013 .

[49]  A. Teter,et al.  Non-linear multi-mode buckling of non-symmetric FML/FGM thin-walled columns with open cross-sections under compression , 2017 .

[50]  T. Kubiak,et al.  Estimation of load-carrying capacity for thin-walled composite beams , 2015 .

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

[52]  Hubert Debski,et al.  Experimental investigation of post-buckling behavior of composite column with top-hat cross-section , 2013 .

[53]  P. Różyło,et al.  NUMERICAL ANALYSIS OF THE BEHAVIOR OF COMPRESSED THIN-WALLED ELEMENTS WITH HOLES , 2016 .

[54]  Krishna Shankar,et al.  A combined elastoplastic damage model for progressive failure analysis of composite materials and structures , 2012 .

[55]  Chiara Bisagni,et al.  AN ANALYSIS TOOL FOR DESIGN AND CERTIFICATION OF POSTBUCKLING COMPOSITE AEROSPACE STRUCTURES , 2010 .

[56]  Alexandre Landesmann,et al.  Distortional failure and DSM design of cold-formed steel lipped channel beams under elevated temperatures , 2016 .

[57]  Andrzej Teter,et al.  Influence of Boundary Conditions on the Critical and Failure Load in the GFPR Channel Cross-Section Columns Subjected to Compression , 2015 .

[58]  R. Hill.  The mathematical theory of plasticity , 1950 .

[59]  R. Luciano,et al.  Some analytical solutions of functionally graded Kirchhoff plates , 2015 .

[60]  Luciano Feo,et al.  Application of an enhanced version of the Eringen differential model to nanotechnology , 2016 .

[61]  R. Mania,et al.  Comparison of failure criteria application for FML column buckling strength analysis , 2016 .

[62]  T. Kubiak,et al.  Progressive failure analysis of thin-walled composite columns subjected to uniaxial compression , 2017 .

[63]  Hubert Debski,et al.  A study of stability and post-critical behaviour of thin-walled composite profiles under compression , 2016 .

[64]  R. Luciano,et al.  Functionally graded Timoshenko nanobeams: A novel nonlocal gradient formulation , 2016 .