Micromechanical Modeling of Viscoplastic Behavior of Laminated Polymer Composites With Thermal Residual Stress Effect

In this paper, a multiscale approach has been developed for investigating the rate-dependent viscoplastic behavior of polymer matrix composites (PMCs) with thermal residual stress effect. The finite-volume direct averaging micromechanics (FVDAM), which effectively predicts nonlinear response of unidirectional fiber reinforced composites, is incorporated with improved Bodner-Partom model to describe the viscoplastic behavior of PMCs. The new micromechanical model is then implemented into the classical laminate theory, enabling efficient and accurate analysis of multidirectional PMCs. The deformation behaviors of several AS4/PEEK PMCs with various fiber configurations are simulated at different strain rates. Thermal residual stress influence on the nonlinear behavior of PMCs is addressed. The research results show that the proposed method can predict the viscoplastic behavior of unidirectional and multidirectional PMCs reasonably. Influence of thermal residual stress on the viscoplastic behavior of PMCs is closely related to fiber orientation. In addition, the thermal residual stress effect cannot be neglected in order to accurately describe the rate-dependent viscoplastic behavior of PMCs.

[1]  Prediction of residual stresses and distortion in carbon fiber‐epoxy composite parts due to curing process using finite element analysis , 2013 .

[2]  Zheng-ming Huang,et al.  Strength of Fibrous Composites , 2012 .

[3]  A. Pelegri,et al.  Three-Dimensional Numerical Simulation of Random Fiber Composites With High Aspect Ratio and High Volume Fraction , 2011 .

[4]  Harald E.N. Bersee,et al.  Residual stresses in thermoplastic composites - a study of the literature. Part III: Effects of thermal residual stresses , 2007 .

[5]  R. Hill.  Elastic properties of reinforced solids: some theoretical principles , 1963 .

[6]  Zhi Zhai,et al.  A new and general formulation of three-dimensional finite-volume micromechanics for particulate reinforced composites with viscoplastic phases , 2016 .

[7]  M. Dunn.  Micromechanics of coupled electroelastic composites: Effective thermal expansion and pyroelectric coefficients , 1993 .

[8]  Marek-Jerzy Pindera,et al.  Transient Finite-Volume Analysis of a Graded Cylindrical Shell Under Thermal Shock Loading , 2011 .

[9]  S. R. Bodner,et al.  Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials , 1975 .

[10]  Zheng-Ming Huang,et al.  Simulation of the mechanical properties of fibrous composites by the bridging micromechanics model , 2001 .

[11]  R. Guedes.  Viscoplastic Analysis of Fiber Reinforced Polymer Matrix Composites Under Various Loading Conditions , 2009 .

[12]  Yogesh Bansal,et al.  Finite-volume direct averaging micromechanics of heterogeneous materials with elastic–plastic phases☆ , 2006 .

[13]  Z. Huang.  Simulation of inelastic response of multidirectional laminates based on stress failure criteria , 2000 .

[14]  Y. Qiu,et al.  Initial and final failure strength analysis of composites based on a micromechanical method , 2015 .

[15]  Adriaan Beukers,et al.  Residual stresses in thermoplastic composites—A study of the literature—Part I: Formation of residual stresses , 2006 .

[16]  Y. Kwon,et al.  Versatile Micromechanics Model for Multiscale Analysis of Composite Structures , 2013, Applied Composite Materials.

[17]  M. Pindera,et al.  Targeting the finite-deformation response of wavy biological tissues with bio-inspired material architectures. , 2013, Journal of the mechanical behavior of biomedical materials.

[18]  Amos Gilat,et al.  Implementation of an Associative Flow Rule Including Hydrostatic Stress Effects into the High Strain Rate Deformation Analysis of Polymer Matrix Composites , 2005 .

[19]  Stelios Kyriakides,et al.  Inelastic behavior of an AS4/PEEK composite under combined transverse compression and shear. Part I: experiments , 1999 .

[20]  E. Lavernia,et al.  Thermal residual stresses in metal matrix composites: A review , 1995 .

[21]  K. J. Yoon,et al.  Characterization of Elastic-Viscoplastic Properties of an AS4/PEEK Thermoplastic Composite , 1991 .

[22]  C. Sun,et al.  Testing and modeling high strain rate behavior of polymeric composites , 1998 .

[23]  Y. Bansal,et al.  On the Micromechanics-Based Simulation of Metal Matrix Composite Response , 2007 .

[24]  Zhengjia He,et al.  Micromechanical modeling on the rate-dependent viscoplastic behavior of polymer composites with thermal residual stress effect , 2014 .

[25]  Marek-Jerzy Pindera,et al.  Parametric finite-volume micromechanics of periodic materials with elastoplastic phases , 2009 .

[26]  Martin L. Dunn,et al.  Micromechanics of Magnetoelectroelastic Composite Materials: Average Fields and Effective Behavior , 1998 .

[27]  Anthony M. Waas,et al.  A micromechanics-based finite element model for compressive failure of notched uniply composite , 1999 .

[28]  Y. Bansal,et al.  Micromechanics of spatially uniform heterogeneous media: A critical review and emerging approaches , 2009 .

[29]  L. Azrar,et al.  Electroelastic behavior modeling of piezoelectric composite materials containing spatially oriented reinforcements , 2003 .

[30]  A. Gilat,et al.  Incorporation of mean stress effects into the micromechanical analysis of the high strain rate response of polymer matrix composites , 2003 .

[31]  Wenqiong Tu,et al.  Cohesive Zone-Based Damage Evolution in Periodic Materials Via Finite-Volume Homogenization , 2014 .

[32]  Marek-Jerzy Pindera,et al.  Parametric Finite-Volume Micromechanics of Uniaxial Continuously-Reinforced Periodic Materials With Elastic Phases , 2008 .

[33]  C. A. Weeks,et al.  Modeling non-linear rate-dependent behavior in fiber-reinforced composites , 1998 .

[34]  Zheng-Ming Huang,et al.  A bridging model prediction of the ultimate strength of composite laminates subjected to biaxial loads , 2004 .

[35]  Marek-Jerzy Pindera,et al.  Generalized FVDAM Theory for Periodic Materials Undergoing Finite Deformations—Part I: Framework , 2014 .