Mechanically fastened joints in composite laminates: Evaluation of load bearing capacity

Abstract Mechanical fasteners, commonly used in many advanced engineering applications dealing with composite laminates, play the main role of transferring loads between the linked structural elements. The present study, focused on pinned-joints, explores the possibility of applying a direct method for evaluating the joint’s strength as well as for predicting some of the more common joint’s failure mechanisms. A limit analysis numerical approach for statically loaded pinned-joint orthotropic laminates in plane stress conditions is proposed. Two well known numerical procedures for limit analysis likewise having common roots, namely the Linear Matching Method and the Elastic Compensation Method, are utilized to evaluate upper and lower bounds to the joint collapse load. Both methods are rephrased assuming for the material in use a Tsai–Wu type yield surface. The results obtained are compared and plotted against some available experimental findings. Some final remarks draw attention to the potentialities and the limits of the proposed approach.

[1]  Zhangzhi Cen,et al.  Lower‐bound limit analysis by using the EFG method and non‐linear programming , 2008 .

[2]  Plastic limit analysis of cylindrically orthotropic circular plates , 2002 .

[3]  Stephen W. Tsai,et al.  A General Theory of Strength for Anisotropic Materials , 1971 .

[4]  Paolo Fuschi,et al.  Limit analysis for a general class of yield conditions , 2000 .

[5]  Jacques Heyman,et al.  The stone skeleton , 1995 .

[6]  Ted Belytschko,et al.  Plane Stress Limit Analysis by Finite Elements , 1970 .

[7]  B. W. Rosen,et al.  Strength of Fiber-Reinforced Composites by Limit Analysis Methods , 1967 .

[8]  R. Seshadri,et al.  The effect of multiaxiality and follow-up on creep damage , 1990 .

[9]  Scott W. Sloan,et al.  Lower bound limit analysis using non‐linear programming , 2002 .

[10]  P. Camanho,et al.  A design methodology for mechanically fastened joints in laminated composite materials , 2006 .

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

[12]  R. Seshadri The Generalized Local Stress Strain (GLOSS) Analysis—Theory and Applications , 1991 .

[13]  John P. Carter,et al.  Limit analysis of the bearing capacity of fissured materials , 2000 .

[14]  Haofeng Chen,et al.  The linear matching method applied to the high temperature life integrity of structures. Part 1. Assessments involving constant residual stress fields , 2006 .

[15]  Luciano Feo,et al.  An experimental investigation on the bearing failure load of glass fibre/epoxy laminates , 2009 .

[16]  H. J. Greenberg,et al.  EXTENDED LIMIT DESIGN THEOREMS FOR CONTINUOUS MEDIA , 1952 .

[17]  Robert Hamilton,et al.  A Simple Upper-Bound Method for Calculating Approximate Shakedown Loads , 1998 .

[18]  Robert Hamilton,et al.  Simplified lower bound limit analysis of transversely loaded thin plates using generalised yield criteria , 2002 .

[19]  Zhangzhi Cen,et al.  Limit analysis of structures containing flaws based on a modified elastic compensation method , 2008 .

[20]  Ted Belytschko,et al.  Numerical Methods for the Limit Analysis of Plates , 1968 .

[21]  Pedro P. Camanho,et al.  Stress analysis and strength prediction of mechanically fastened joints in FRP: A review , 1997 .

[22]  S. Sloan,et al.  Upper bound limit analysis using discontinuous velocity fields , 1995 .

[23]  Conor T. McCarthy,et al.  A global bolted joint model for finite element analysis of load distributions in multi-bolt composite joints , 2010 .

[24]  William Prager,et al.  Introduction to Plasticity , 1960 .

[25]  M. A. Luersen,et al.  Optimization of laminated composites considering different failure criteria , 2009 .

[26]  Zhangzhi Cen,et al.  Lower bound limit analysis by the symmetric Galerkin boundary element method and the Complex method , 2000 .

[27]  S. Tsai,et al.  Introduction to composite materials , 1980 .

[28]  Alan R.S. Ponter,et al.  Limit state solutions, based upon linear elastic solutions with a spatially varying elastic modulus , 1997 .

[29]  David M. Potts,et al.  Stability of a shallow circular tunnel in cohesionless soil , 1977 .

[30]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[31]  Yinghua Liu,et al.  Plastic limit analysis of ductile composite structures from micro- to macro-mechanical analysis , 2009 .

[32]  P. Fuschi,et al.  Limit Analysis of Orthotropic Laminates by Linear Matching Method , 2009 .

[33]  Antonio Capsoni Limit analysis of anisotropic structures based on the kinematic theorem , 2001 .

[34]  Steven C. Batterman,et al.  Limit behavior of fibrous materials , 1970 .

[35]  Andrew Palmer,et al.  A limit theorem for materials with non-associated flow laws , 1966 .

[36]  Pasquale Vena,et al.  Limit analysis of orthotropic plates ? ? Partial results were presented at the Plasticity '00 Sympos , 2003 .

[37]  P. Fuschi,et al.  A numerical approach for limit analysis of orthotropic composite laminates , 2007 .

[38]  Scott W. Sloan,et al.  Finite element limit analysis of reinforced soils , 1997 .

[39]  Srinivasa D. Thoppul,et al.  Mechanics of mechanically fastened joints in polymer–matrix composite structures – A review , 2009 .

[40]  Donald Mackenzie,et al.  A method of estimating limit loads by iterative elastic analysis. I—Simple examples , 1992 .

[41]  H. Hahn,et al.  The Bearing strength of e-glass/vinyl-ester composites fabricated by vartm , 1998 .

[42]  R. T. Shield,et al.  On Coulomb's law of failure in soils , 1955 .

[43]  A. Ponter,et al.  Evaluation of the convergent properties of the Linear Matching Method for computing the collapse of structural components , 2009 .

[44]  Michael L. Overton,et al.  Computing Limit Loads by Minimizing a Sum of Norms , 1998, SIAM J. Sci. Comput..

[45]  R. Seshadri,et al.  Limit Loads of Mechanical Components and Structures Using the GLOSS R-Node Method , 1992 .

[46]  H. Li,et al.  Limit analysis of composite materials based on an ellipsoid yield criterion , 2006 .

[47]  J. Pastor,et al.  Lower and upper numerical bounds to the off-axis strength of unidirectional fiber-reinforced composites by limit analysis methods , 1997 .

[48]  Luciano Feo,et al.  On the pin-bearing failure load of GFRP bolted laminates: An experimental analysis on the influence of bolt diameter , 2010 .

[49]  A. K. Dhalla,et al.  ASME code classification of pipe stresses: A simplified elastic procedure , 1986 .

[50]  Scott W. Sloan,et al.  Lower bound limit analysis using finite elements and linear programming , 1988 .

[51]  Alan R.S. Ponter,et al.  Extension of the linear matching method to geotechnical problems , 2005 .

[52]  Dongwei Shu,et al.  A numerical method for lower bound limit analysis of 3-D structures with multi-loading systems , 1999 .

[53]  Antonio Huerta,et al.  Upper and lower bounds in limit analysis: Adaptive meshing strategies and discontinuous loading , 2009 .

[54]  C. Martin,et al.  Lower bound limit analysis of cohesive‐frictional materials using second‐order cone programming , 2006 .