The Effect of Stochastically Varying Creep Parameters on Residual Stresses in Ceramic Matrix Composites

Constituent properties, along with volume fraction, have a first order effect on the microscale fields within a composite material and influence the macroscopic response. Therefore, there is a need to assess the significance of stochastic variation in the constituent properties of composites at the higher scales. The effect of variability in the parameters controlling the time-dependent behavior, in a unidirectional SCS-6 SiC fiber-reinforced RBSN matrix composite lamina, on the residual stresses induced during processing is investigated numerically. The generalized method of cells micromechanics theory is utilized to model the ceramic matrix composite lamina using a repeating unit cell. The primary creep phases of the constituents are approximated using a Norton-Bailey, steady state, power law creep model. The effect of residual stresses on the proportional limit stress and strain to failure of the composite is demonstrated. Monte Carlo simulations were conducted using a normal distribution for the power law parameters and the resulting residual stress distributions were predicted.

[1]  T. Chuang,et al.  Estimation of power-law creep parameters from bend test data , 1986 .

[2]  G. Morscher,et al.  Creep and stress relaxation modeling of polycrystalline ceramic fibers , 1994 .

[3]  Brett A. Bednarcyk,et al.  Micromechanics of Composite Materials: A Generalized Multiscale Analysis Approach , 2012 .

[4]  Microstructural Influence on Deformation and Fatigue Life of Composites Using the Generalized Method of Cells , 2015 .

[5]  Steven M. Arnold,et al.  A Framework for Performing Multiscale Stochastic Progressive Failure Analysis of Composite Structures , 2006 .

[6]  Steven M. Arnold,et al.  Progressive Failure of a Unidirectional Fiber-reinforced Composite Using the Method of Cells: Discretization Objective Computational Results , 2013 .

[7]  Brett A. Bednarcyk,et al.  MAC/GMC 4.0 User's Manual— Keywords Manual , 2002 .

[8]  K. Tanaka,et al.  Average stress in matrix and average elastic energy of materials with misfitting inclusions , 1973 .

[9]  Somnath Ghosh,et al.  Voronoi cell finite element model based on micropolar theory of thermoelasticity for heterogeneous materials , 1995 .

[10]  J. Jones,et al.  Tensile Creep and Creep‐Recovery Behavior of a SiC‐Fiber─Si3N4‐Matrix Composite , 1993 .

[11]  D. McDowell,et al.  Gradient concepts for evolution of damage , 1999 .

[12]  R. Bhatt,et al.  Laminate Behavior for SiC Fiber-Reinforced Reaction-Bonded Silicon Nitride Matrix Composites , 1990 .

[13]  M. Paley,et al.  Micromechanical analysis of composites by the generalized cells model , 1992 .

[14]  A. Waas,et al.  Progressive Failure of a Unidirectional Fiber-Reinforced Composite , 2012 .

[15]  Daniel Dunn,et al.  The Effect of Fiber Volume Fraction in Hipercomp® SiC-SiC Composites , 2010 .

[16]  Steven M. Arnold,et al.  MAC/GMC 4.0 User's Manual: Example Problem Manual. Volume 3 , 2002 .

[17]  A. Chulya,et al.  Mechanical Behavior of Fiber-Reinforced SiC/RBSN Ceramic Matrix Composites: Theory and Experiment , 1991 .

[18]  Steven M. Arnold,et al.  A Multiscale Modeling Methodology for Metal Matrix Composites Including Fiber Strength Stochastics , 2012 .

[19]  On the finite element implementation of the generalized method of cells micromechanics constitutive model , 1995 .

[20]  R. Bhatt.  Silicon Carbide Fiber-Reinforced Silicon Nitride Composites , 2013 .

[21]  Steven M. Arnold,et al.  Multiscale Modeling of Ceramic Matrix Composites , 2015 .

[22]  Influence of Scale Specific Features on the ProgressiveDamage ofWoven Ceramic Matrix Composites (CMCs) , 2013 .

[23]  Utilization of the Generalized Method of Cells to Analyze the Deformation Response of Laminated Ceramic Matrix Composites , 2012 .

[24]  Jacob Fish,et al.  Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials , 2007 .

[25]  B. Bednarcyk,et al.  The Effect of Scale Dependent Discretization on the Progressive Failure of Composite Materials Using Multiscale Analyses , 2013 .

[26]  Steven M. Arnold,et al.  An Annotative Review of Multiscale Modeling and its Application to Scales Inherent in the Field of ICME , 2011 .