Multiscale modelling of laminated composite structures with defects and features

Abstract In this chapter, the challenges associated with modelling laminated composites with defects and feature is discussed. Next, a multi-scale modelling framework for dealing with presence of defects and features on the structural scale is introduced. The goal is to capture the effect of layup, defects, and features without having to model them explicitly in the structural model. Additionally, it is important to capture the non-linear material behavior resulting from the inter/intra-ply damage and its relation to the stress-state. The proposed framework divides the response of a composite structure into two stages. The first stage is concerned with predicting the stiffness on the macro-scale. The second stage covers damage initiation and progression on the macro-scale. For both stages of the framework, a database of Representative Volume Elements (RVE) models of the laminated composites with embedded defects and features is built to cover the complete composite design space. The responses from the RVE models are homogenized to generate equivalent stress-strain curves which form the foundation for both stages of the multi-scale framework.

[1]  Hisao Fukunaga,et al.  Buckling design of symmetrically laminated plates using lamination parameters , 1995 .

[2]  S. Hallett,et al.  Parametric study of the effect of wrinkle features on the strength of a tapered wind turbine blade sub-structure , 2019, Composite Structures.

[3]  Mitsunori Miki,et al.  Optimum Design of Laminated Composite Plates Using Lamination Parameters , 1993 .

[4]  Zafer Gürdal,et al.  Optimization of a composite cylinder under bending by tailoring stiffness properties in circumferential direction , 2010 .

[5]  Stephen R Hallett,et al.  Compressive failure of laminates containing an embedded wrinkle; experimental and numerical study , 2015 .

[6]  Garret N. Vanderplaats,et al.  Stiffness Optimization of Orthotropic Laminated Composites Using Lamination Parameters , 1991 .

[7]  Raphael T. Haftka,et al.  Maximization of buckling loads of composite panels using flexural lamination parameters , 2004 .

[8]  J. Chaboche,et al.  FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials , 2000 .

[9]  Martin P. Bendsøe,et al.  Parametrization in Laminate Design for Optimal Compliance , 1997 .

[10]  Dmitry Ivanov,et al.  An iterative multiscale modelling approach for nonlinear analysis of 3D composites , 2018 .

[11]  Hisao Fukunaga,et al.  Stiffness design method of symmetric laminates using lamination parameters , 1992 .

[12]  Zafer Gürdal,et al.  Design of variable–stiffness laminates using lamination parameters , 2006 .

[13]  Dongbin Xiu,et al.  The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations , 2002, SIAM J. Sci. Comput..

[14]  Shuguang Li,et al.  Boundary conditions for unit cells from periodic microstructures and their implications , 2008 .

[15]  K. Potter,et al.  Consolidation-Driven Defect Generation in Thick Composite Parts , 2018 .

[16]  Z. Gürdal,et al.  Design of variable stiffness composite panels for maximum fundamental frequency using lamination parameters , 2007 .

[17]  Michael R Wisnom,et al.  Interaction of inter- and intralaminar damage in scaled quasi-static indentation tests: Part 1 – Experiments , 2016 .

[18]  D. C. Freeman,et al.  The Effects of Through-thickness Compression on the Interlaminar Shear Response of Laminated Fiber Composites , 2004 .

[19]  P. Camanho,et al.  Three-dimensional failure criteria for fiber-reinforced laminates , 2013 .

[20]  Masaki Kameyama,et al.  Optimum design of composite plate wings for aeroelastic characteristics using lamination parameters , 2007 .

[21]  S. Jansson,et al.  Homogenized nonlinear constitutive properties and local stress concentrations for composites with periodic internal structure , 1992 .

[22]  Christian Miehe,et al.  Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction , 2002 .

[23]  Roeland De Breuker,et al.  Aeroelastic tailoring using lamination parameters , 2010 .

[24]  Zafer Gürdal,et al.  Approximate Feasible Regions for Lamination Parameters , 2006 .

[25]  M. Wisnom,et al.  Measurement and modelling of interlaminar shear strength enhancement under moderate through-thickness compression , 2013 .

[26]  Zafer Gürdal,et al.  Optimization of Variable-Stiffness Panels for Maximum Buckling Load Using Lamination Parameters , 2010 .

[27]  F. Feyel A multilevel finite element method (FE2) to describe the response of highly non-linear structures using generalized continua , 2003 .

[28]  Stephen R Hallett,et al.  Tensile failure of laminates containing an embedded wrinkle; numerical and experimental study , 2015 .

[29]  Jonathan E. Cooper,et al.  Modeling composite wing aeroelastic behavior with uncertain damage severity and material properties , 2012 .

[30]  Silvestre T. Pinho,et al.  Reducing the domain in the mechanical analysis of periodic structures, with application to woven composites , 2011 .

[31]  Zafer Gürdal,et al.  Design of variable stiffness panels for maximum strength using lamination parameters , 2011 .

[32]  J. Michel,et al.  Effective properties of composite materials with periodic microstructure : a computational approach , 1999 .

[33]  Xiangqian Li,et al.  Modelling the effect of gaps and overlaps in automated fibre placement (AFP)-manufactured laminates , 2015 .

[34]  Stephen R Hallett,et al.  Smoothing artificial stress concentrations in voxel-based models of textile composites , 2016 .

[35]  S. Hallett,et al.  Multiscale surrogate modelling of the elastic response of thick composite structures with embedded defects and features , 2018, Composite Structures.

[36]  Hideki Sekine,et al.  Buckling characteristics and layup optimization of long laminated composite cylindrical shells subjected to combined loads using lamination parameters , 2002 .

[37]  I. A. Jones,et al.  A numerical study of variability in the manufacturing process of thick composite parts , 2019, Composite Structures.

[38]  Stephen R Hallett,et al.  Prediction of impact damage in composite plates , 2000 .

[39]  Paul M. Weaver,et al.  Uncertainty quantification of aeroelastic stability of composite plate wings using lamination parameters , 2014 .

[40]  Bing Zhang,et al.  Micro-mechanical finite element analysis of Z-pins under mixed-mode loading , 2015 .