Homogenization & Computational Micromechanics of Heterogeneous Materials & Structures



Micromechanics

Pindera, M-J. and Aboudi, J., "Micromechanical Analysis of Yielding of Metal Matrix Composites," Int. J. Plasticity, Vol. 4, 1988, pp. 195-214.
Pindera, M-J., Aboudi, J. and Brayshaw, J. B., "Micromechanical Investigation of the Convexity of Yield Surfaces of Metal Matrix Composites," Int. J. Plasticity, Vol. 7, pp. 549-566, 1991.
Pindera, M-J., Freed, A. D. and Arnold, S. M., "Effects of Fiber and Interfacial Layer Morphologies on the Thermoplastic Response of Metal Matrix Composites," Int. J. Solids & Structures, Vol. 30, No. 9, 1993, pp. 1213-1238.
Pindera, M-J., Salzar, R. S. and Williams, T. O., "An Evaluation of a New Approach for the Thermoplastic Response of Metal Matrix Composites," Composites Engineering, Vol. 3, No. 12, 1993, pp. 1185-1201.
Pindera, M-J., Arnold, S. M., and Williams, T. O., "Thermoplastic Response of Metal Matrix Composites with Homogenized and Functionally Graded Interfaces," Composites Engineering, Vol. 4, No. 1, 1994, pp. 129-145.
Pindera, M-J. and Freed, A. D., "The Effect of Matrix Microstructure on Thermally-Induced Residual Stresses in SiC/Titanium Aluminide Composites," J. Engineering Materials and Technology, Vol. 116, No. 2, 1994, pp. 215-221.
Brayshaw, J. B. and Pindera, M-J., "The Effect of Matrix Constitutive Model on Residual Thermal Stresses in MMC," J. Engineering Materials and Technology, Vol. 116, No. 4, 1994, pp. 505-511.
McGarry, T. D., Pindera, M-J., and Wawner, F. E., "Evaluation of Reaction Barrier Compensating Coatings on SCS-6 Fibers in Ti14-Al21-Nb Composites," Composites Engineering, Vol. 5, No. 7, 1995, pp. 951-974.
Williams, T. O. and Pindera, M-J., "TMF Modeling of Advanced Metal Matrix Composites in the Presence of Microstructural Details," Materials Science and Engineering, Vol. A200, No. 1-2, 1995, pp. 156-172.
Salzar, R. S., Pindera, M-J., and Barton, F. W., "Elastic/Plastic Analysis of Layered Metal Matrix Composite Cylinders. Part I: Theory," J. Pressure Vessel Technology, Vol. 118, No. 1, 1996, pp. 13-20.
Salzar, R. S., Pindera, M-J., and Barton, F. W., "Elastic/Plastic Analysis of Layered Metal Matrix Composite Cylinders. Part II: Applications," J. Pressure Vessel Technology, Vol. 118, No. 1, 1996, pp. 21-26.
Arnold, S. M., Pindera, M-J., and Wilt, T. E., "Influence of Fiber Architecture on the Inelastic Response of Metal Matrix Composites," Int. J. Plasticity, Vol. 12, No. 4, 1996, pp. 507-545.
Bednarcyk, B. A. and Pindera, M-J., "Inelastic Thermal Response of Gr/Cu with Nonuniform Fiber Distribution," J. Aerospace Engineering, Vol. 9, No. 4, 1996, pp. 93-105.
Baxter, S. C. and Pindera, M-J., "Degradation of the Elastic Response of MMC Laminated Tubes Due to Internal Fiber Cracks," J. Aerospace Engineering, Vol. 10, No. 1, 1997, pp. 43-48.
Williams, T. O. and Pindera, M-J., "An Analytical Model for the Inelastic Axial Shear Response of Unidirectional Metal Matrix Composites," Int. J. Plasticity, Vol. 13, No. 3, 1997, pp. 261-289.
Pindera, M-J. and Bednarcyk, A. B., "An Efficient Implementation of the GMC Micromechanics Model for Multi-Phased Materials with Complex Microstructures," Composites: Part B (Engineering), Vol. 30B, No. 1, 1999, pp. 87-105.
Baxter, S. and Pindera, M-J., "Stress and Plastic Strain Fields During Unconstrained and Constrained Fabrication Cool Down of Fiber Reinforced IMC's", J. Composite Materials, Vol. 33, No. 4, 1999, pp. 351-376.
Orozco, C. E. and Pindera, M-J, "Plastic Analysis of Complex Microstructure Composites Using the Generalized Method of Cells", AIAA Journal, Vol. 37, No. 4, 1999, pp. 482-488.
Bednarcyk, B. A. and Pindera, M-J., "Inelastic Response of a Woven Carbon/Copper Composite. Part 1: Experimental Characterization," J. Composite Materials, Vol. 33, No. 19, 1999, pp. 1807-1842.
Bednarcyk, B. A. and Pindera, M-J., "Inelastic Response of a Woven Carbon/Copper Composite. Part 2: Micromechanics Model," J. Composite Materials, Vol. 34, No. 4, 2000, pp. 299-331.
Bednarcyk, B. A. and Pindera, M-J., "Inelastic Response of a Woven Carbon/Copper Composite. Part 3: Experimental/Analytical Correlation," J. Composite Materials, Vol. 34, No. 5, 2000, pp. 352-378.
Orozco, C. E. and Pindera, M-J., "Viscoelastic Analysis of Multi-Phase Composites Using the Generalized Method of Cells," AIAA Journal, Vol. 40, No. 8, 2002, pp. 1619-1626.


Homogenization


General

Drago, A.S. and Pindera, M-J., "Micro-Macromechanical Analysis of Heterogeneous Materials: Macroscopically Homogeneous vs Periodic Microstructures", Composites Science & Technology, Vol. 67, No. 6, 2007, pp. 1243-1263.
Pindera, M-J., Charalambakis, N., Lagoudas, D., and Hui, D. (Guest Editors). "Homogenization and Micromechanics of Smart and Multifunctional Materials”, Composites B, Vol. 43, No. 6, 2012.


Elasticity Homogenization Theories
Drago, A. S. and Pindera, M-J., “A Locally-Exact Homogenization Theory for Periodic Microstructures with Isotropic Phases”, J. Applied Mechanics, Vol. 75, No. 5, 2008, pp. 051010-14.
Wang, G. and Pindera, M-J., “Locally-exact homogenization theory for transversely isotropic unidirectional composites”, Mechanics Research Communications 78, Special Issue 2-14, Part B, 2016.
Wang, G. and Pindera, M-J., “Locally-exact homogenization of unidirectional composites with coated or hollow reinforcement”, Materials and Design 93, 514–528, 2016.
Wang, G. and Pindera, M-J., “Locally exact homogenization of unidirectional composites with cylindrically orthotropic fibers”, J. Appl. Mechanics 83(7), 071010-1:11, 2016.
Wang, G. and Pindera, M-J., “On boundary condition implementation via variational principles in elasticity-based homogenization”, J. Appl. Mechanics 83(10), 101008-1:15, 2016.
Wang, G. and Pindera, M-J., “Locally-exact homogenization of viscoelastic unidirectional composites”, Mechanics of Materials, 103, 95-109, 2016
Wang, G., Tu, W. and Pindera, M-J., “Tailoring the moduli of composites using hollow reinforcement. Composite Structures”, 160, 838-853, 2017.
Wang, G. and Pindera, M-J., “Elasticity-based microstructural optimization: An integrated multiscale framework”, Materials and Design, 132, 337-348, 2017.
Wang, G., Chen, Q., He, Z., and Pindera, M-J., “Homogenized moduli and local stress fields of unidirectional nanocomposites”, Composites Part B, 138, 265-277, 2018.

Finite Volume Homogenization Theories

Aboudi, J., Pindera, M-J, and Arnold, S. M., "Higher-Order Theory for Periodic Multiphase Materials with Inelastic Phases", Int. J. Plasticity, Vol. 19, 2003, pp. 805-847.
Pindera, M-J., Aboudi, J., and Arnold, S. M., "Analysis of Locally Irregular Composites Using High-Fidelity Generalized Method of Cells", AIAA Journal, Vol. 41, No. 12, 2003, pp. 2331-2340.
Bednarcyk, B. A., Arnold, S. M., Aboudi, J., and Pindera, M-J., "Local Field Effects in Titanium Matrix Composites Subject to Fiber-Matrix Debonding", Int. J. Plasticity, Vol. 20, No. 8/9, 2004, pp. 1707-1737.
Aboudi, J. and Pindera, M-J., "High-Fidelity Micromechanical Modeling of Continuously Reinforced Elastic Multiphase Materials Undergoing Finite Deformation, Mathematics and Mechanics of Solids, Vol. 9, No. 6, 2004, pp. 599-628.
Pindera, M-J. (Guest Editor), “Inelastic Response of Multiphase Materials”, Int. J. Plasticity, Vol. 21, No. 6, 2005.
Bansal, Y. and Pindera, M-J. "A Second Look at the Higher-Order Theory for Periodic Multiphase Materials", J. Applied Mechanics, Vol. 72, No. 2, 2005, pp. 177-195
Bansal, Y. and Pindera, M-J., “Finite-Volume Direct Averaging Micromechanics of Heterogeneous Materials with Elastic-Plastic Phases,” Int. J. Plasticity, Vol. 22, No. 5, 2006, pp. 775-825.
Pindera, M-J. and Bansal, Y., “On the Micromechanics-Based Simulation of Metal Matrix Composite Response”, J. Engineering Materials & Technology, Vol. 129, No. 3, 2007, pp. 468-482.
Gattu, M., Khatam, H., Drago, A.S. and Pindera, M-J., “Parametric Finite-Volume Micromechanics of Uniaxial Continuously-Reinforced Periodic Materials with Elastic Phases”, J. Engineering Materials & Technology, 130, No. 3, 2008, pp. 031015-15.
Khatam, H. and Pindera, M-J., “Thermo-Elastic Moduli of Lamellar Composites with Wavy Architectures”, Composites B (Engineering), Vol. 40, No. 1, 2009, pp. 50-64.
Khatam, H. and Pindera, M-J., “Parametric Finite-Volume Micromechanics of Periodic Materials with Elastoplastic Phases”, Int. J. Plasticity, Vol. 25, No. 7, 2009, pp. 1386-1411.
Khatam, H., Chen, L. and Pindera, M-J., “Elastic and Plastic Response of Perforated Plates with Different Porosity Architectures”, J. Engineering Materials & Technology, Vol. 131, No. 3, 2009, pp. 031015-14.
Pindera, M-J., Khatam, H., Drago, A. S., and Bansal, Y., “Micromechanics of Spatially Uniform Heterogeneous Media: A Critical Review and Emerging Approaches”, Composites B, Vol. 40, No. 5, 2009, pp. 349-378.
Khatam, H. and Pindera, M-J., “Plasticity-Triggered Architectural Effects in Periodic Multilayers with Wavy Microstructures”, Int. J. Plasticity, Vol. 26, No. 2, 2010, pp. 273-287.
Cavalcante, M.A.A., Khatam, H. and Pindera, M-J., “Homogenization of Elastic-Plastic Periodic Materials by FVDAM and FE Approaches - An Assessement”, Composites B (Engineering), Vol. 42, No. 6, 2011, 1713-1730.
Khatam, H. and Pindera. M-J., “Plastic Deformation Modes in Perforated Sheets and Their Relation to Yield and Limit Surfaces”, Int. J. Plasticity, Vol. 27, No. 10, 2011, 1537-1559.
Khatam, H. and Pindera. M-J., “Microstructural Scale Effects in the Nonlinear Elastic Response of Bio-inspired Wavy Multilayers Undergoing Finite Deformation”, Composites B, Vol. 43, No. 3, 2012, 869-884.
Cavalcante, M.A.A., Pindera, M-J. and Khatam, H., "Finite-Volume Micromechanics of Periodic Materials: Past, Present and Future", Composites B, Vol. 43, No. 6, 2012, .2521-2543.
Cavalcante, M.A.A., Lages, E.N., Marques, S.P.C., and Pindera, M-J., “The High-Fidelity Generalized Method of Cells and Its Relationship to the Parametric Finite-Volume Micromechanics, Int. J. Solids & Structures, Vol. 49, 2012, 2037-2050.
Cavalcante, M.A.A. and Pindera, M-J., “FVDAM-Enabled Transformation Field Analysis of Periodic Materials”, Int. J. Mechanics and Materials in Design, Vol. 9(2), 2013, 153-179.
Tu, W. and Pindera, M-J., “Targeting the Finite-Deformation Response of Wavy Biological Tissues with Bio-Inspired Material Architectures”, J. Mech. Behavior of Biomedical Materials 28, 291-308, 2013.
Cavalcante, M.A.A. and Pindera, M-J., “Generalized FVDAM Theory for Periodic Materials Undergoing Finite Deformation. Part I: Framework”, J. Applied Mechanics 81, 021005-1:10. (11 pages), 2014.
Cavalcante, M.A.A. and Pindera, M-J., “Generalized FVDAM Theory for Periodic Materials Undergoing Finite Deformation. Part II: Results”, J. Applied Mechanics 81, 021006-1:12 (12 pages), 2014.
Tu, W. and Pindera, M-J., “Cohesive Zone-Based Damage Evolution in Periodic Materials Via Finite-Volume Homogenization”, J. Applied Mechanics, 81(10), 01005 (12 pages), 2014.
Katz, A., Trinh, C., Wright, J., Tu, W. and Pindera, M-J., “Plastic strain localization in periodic materials with wavy brick-and-mortar architectures and its effect on the homogenized response”, Composites Part B, 68, 270-280, 2015.
Cavalcante, M.A.A, Pindera, M-J., “Generalized FVDAM theory for elastic-plastic periodic materials. Int. J. Plasticity 77, 90-117, 2016.
Tu, W. and Pindera, M-J., “Damage evolution in cross-ply laminates revisited via cohesive zone model and finite-volume homogenization”, Composites Part B 86, 40-60, 2016.
Chen, Q., Wang, G., and Pindera, M-J., “Finite-volume homogenization and localization of nanoporous materials with cylindrical voids. Part 1: Theory and validation,” Eur. J. Mechanics/A Solids, 70, 141-155, 2018.


Functionally Graded Materials


Pindera, M-J., Arnold, S. M., Aboudi, J., and Hui, D. (Guest Editors), "Use of Composites in Functionally Graded Materials", Composites Engineering, Vol. 4, No. 1, 1994.
Aboudi, J., Arnold, S. M., and Pindera, M-J., "Response of Functionally Graded Composites to Thermal Gradients," Composites Engineering, Vol. 4, No. 1, 1994, pp. 1-18.
Aboudi, J., Pindera, M-J., and Arnold, S. M., "Elastic Response of Metal Matrix Composites with Tailored Microstructures to Thermal Gradients," Int. J. Solids & Structures, Vol. 31, No. 10, 1994, pp. 1393-1428.
Pindera, M-J., Aboudi, J., Arnold, S. M., and Jones, W. F. (Guest Editors), "Use of Composites in Multi-Phased and Functionally Graded Materials", Composites Engineering, Vol. 5, No. 7, 1995.
Pindera, M-J., Aboudi, J., and Arnold, S. M., "Limitations of the Uncoupled, RVE-Based Micromechanical Approach in the Analysis of Functionally Graded Composites," Mechanics of Materials, Vol. 20, No. 1, 1995, pp. 77-94.
Aboudi, J., Pindera, M-J., and Arnold, S. M., "Thermo-Inelastic Response of Functionally Graded Composites," Int. J. Solids & Structures, Vol. 32, No. 12, 1995, pp. 1675-1710.
Aboudi, J., Pindera, M-J., and Arnold, S. M., "A Coupled Higher-Order Theory for Functionally Graded Composites with Partial Homogenization," Composites Engineering, Vol. 5, No. 7, 1995, pp. 771-792.
Aboudi, J., Pindera, M-J., and Arnold, S. M., "Thermoelastic Theory for the Response of Materials Functionally Graded in Two Directions," Int. J. Solids & Structures, Vol. 33, No. 7, 1996, pp. 931-966.
Aboudi, J., Pindera, M-J., and Arnold, S. M., "Thermoplasticity Theory for Bi-directionally Functionally Graded Materials," J. Thermal Stresses, Vol. 19, 1996, pp. 809-861.
Pindera, M-J., Aboudi, J., Glaeser, A., and Arnold, S. M. (Guest Editors), "Use of Composites in Multi-Phased and Functionally Graded Materials", Composites (Part B: Engineering), Vol. 28B, No. 1/2, 1997.
Aboudi, J., Pindera, M-J., and Arnold, S. M., "Microstructural Optimization of Functionally Graded Composites Subjected to a Thermal Gradient Via the Coupled Higher-Order Theory," Composites (Part B: Engineering), Vol. 28B, No. 1/2, 1997, pp. 93-108.
Pindera, M-J. and Dunn, P., "Evaluation of the Higher-Order Theory for Functionally Graded Materials Via the Finite-Element Method," Composites (Part B: Engineering), Vol. 28B, No. 1/2, 1997, pp. 109-119.
Pindera, M-J., Aboudi, J., and Arnold, S. M., "The Effect of Microstructure on the Response of Functionally Graded Thermal Barrier Coatings", J. American Ceramics Society, Vol. 81, No. 6, 1998, pp. 1525-1536.
Aboudi, J., Pindera, M-J., and Arnold, S. M., "Higher-Order Theory for Functionally Graded Materials," Composites: Part B (Engineering), Vol. 30B, No. 8, 1999, pp. 777-832.
Pindera, M-J., Aboudi, J., and Arnold, S. M., "The Effect of Interface Roughness and Oxide Film Thickness on the Inelastic Response of Thermal Barrier Coatings to Thermal Cycling," Materials Science & Engineering A, Vol. 284, No. 1/2, 2000, pp. 158-175.
Aboudi, J., Pindera, M-J, and Arnold, S. M., "Linear Thermoelastic Higher-Order Theory for Periodic Multiphase Materials", J. Applied Mechanics, Vol. 68, No. 5, 2001, pp. 697-707.
Pindera, M-J., Aboudi, J., and Arnold, S. M., "Analysis of Spallation Mechanism in Thermal Barrier Coatings with Graded Bond Coats Using the Higher-Order Theory for FGMs," Engineering Fracture Mechanics, Vol. 69, 2002, pp. 1587-1606.
Bansal, Y. and Pindera, M-J., "Efficient Reformulation of the Thermoelastic Higher-Order Theory for FGMs, J. Thermal Stresses, Vol. 26, No. 11-12, 2003, pp. 1055-1092.
Zhong, Y., Bansal, Y. and Pindera, M-J., "Efficient Reformulation of the Thermal Higher-Order Theory for FGMs with Variable Thermal Conductivity, Int. J. Computational Engineering Science, Vol. 5, No. 4, 2004, pp. 795-831.
Pindera, M-J., Aboudi, J., and Arnold, S. M., "Analysis of the Spallation Mechanism Suppression in Plasma-Sprayed TBCs Through the Use of Heterogeneous Bond Coat Architectures," Int. J. Plasticity, Vol. 21, No. 6, 2005, pp. 1061-1096.
Bednarcyk, B. A., Zhang, J., Collier, C., Bansal, Y. and Pindera, M-J., “Analysis Tools for Adhesively Bonded Composite Joints, Part I: Higher-Order Theory,” AIAA Journal, Vol. 44, No. 1, 2006, pp. 171-180
Bednarcyk, B. A., Zhang, J., Collier, C., Bansal, Y. and Pindera, M-J., “Analysis Tools for Adhesively Bonded Composite Joints, Part II: Unified Analytical Theory,” AIAA Journal, Vol. 44, No. 8, 2006, pp. 1709-1719.
Cavalcante, M.A.A., Marques, S.P.C., Pindera, M-J., “Parametric Formulation of the Finite-Volume Theory for Functionally Graded Materials. Part I: Analysis”, J. Applied Mechanics, Vol. 74, No. 5, 2007, pp. 935-945.
Cavalcante, M.A.A., Marques, S.P.C., Pindera, M-J., “Parametric Formulation of the Finite-Volume Theory for Functionally Graded Materials. Part II: Numerical Results”, J. Applied Mechanics, Vol. 74, No. 5, 2007, pp. 946-957.
Cavalcante, M.A.A., Marques, S.P.C., Pindera, M-J., “Computational Aspects of the Parametric Finite-Volume Theory for Functionally Graded Materials”, J. Computational Materials Science, Vol. 44, 2008, pp. 422-438.
Cavalcante, M.A.A., Marques, S.P.C., Pindera, M-J., “Transient Thermo-Mechanical Analysis of a Layered Cylinder by the Parametric Finite-Volume Theory”, J. Thermal Stresses, Vol. 32, No. 1, 2009, pp. 112-134.
Cavalcante, M.A..A.., Marques, S.P.C., and Pindera, M-J. “Transient Finite-Volume Analysis of a Graded Cylindrical Shell Under Thermal Shock Loading”, Mechanics of Advanced Materials & Structures, Vol. 18, No. 1, 2011, pp. 53–67.


Mixed Boundary-Value Problems in Anisotropic Media and Structures
Pindera, M-J., "Local/Global Stiffness Matrix Formulation for Composite Materials and Structures," Composites Engineering, Vol. 1, No. 2, 1991, pp. 69-83.
Pindera, M-J. and Lane, M. S., "Frictionless Contact of Layered Half Planes, Part I : Analysis,” J. Applied Mechanics, Vol. 60, No. 3, 1993, pp. 633-639.
Pindera, M-J. and Lane, M. S., "Frictionless Contact of Layered Half Planes, Part II : Numerical Results," J. Applied Mechanics, Vol. 60, No. 3, 1993, pp. 640-645.
Binienda, W. K and Pindera, M-J., "Frictionless Contact of Layered Metal Matrix and Polymeric Matrix Composite Half Planes," Composites Science and Technology, Vol. 50, No. 1, 1994, pp. 119-128
Urquhart, E. E. and Pindera, M-J., "Incipient Separation Between a Frictionless Flat Punch and An Anisotropic Multilayered Half Plane," Int. J. Solids & Structures, Vol. 31, No. 18, 1994, pp. 2445-2461
Zhang, W., Binienda, W. K., and Pindera, M-J., "The Influence of Layers with Low Transverse Stiffness on the Contact Response of Composite Half Planes," Composites Science and Technology, Vol. 59, No. 3, 1999, pp. 331-343.
Chen, L., Urquhart, E. E., and Pindera, M-J., “Microstructural Effects in Multilayers with Large Moduli Contrast Loaded by Flat Punch”, AIAA Journal, Vol. 43, No. 5, 2005, pp. 962-973.
Chen, L. and Pindera, M-J., "Plane Analysis of Finite Multilayered Media with Multiple Aligned Cracks. Part I: Theory", J. Applied Mechanics, Vol. 74, No. 1, 2007, pp. 128-143.
Chen, L. and Pindera, M-J., "Plane Analysis of Finite Multilayered Media with Multiple Aligned Cracks. Part II: Numerical Results", J. Applied Mechanics, Vol. 74, No. 1, 2007, pp. 144-160.
Pindera, M-J and Chen, L., “Microstructural Effects in Finite Multilayers with Aligned Cracks”, Engineering Fracture Mechanics, Vol. 74, No. 11, 2007, pp. 1697-1718.
Pindera, M-J. and Paulino, G.H. (Guest Editors), “Special Issue Honoring Professor Erdogan’s Seminal Contributions to Mixed Boundary-Value Problems of Inhomogeneous and Functionally Graded Materials”, ASME Journal of Applied Mechanics, Vol. 75, No. 5, 2008.
Chen, L. and Pindera, M-J., “Fracture Mechanics of Periodic Multilayers with Different Microstructural Scales and Moduli Contrast”, J. Applied Mechanics, Vol. 75, No. 5, 2008, pp. 051109-11.
Cavalcante, M.A.A. and Pindera, M-J., “Generalized Finite-Volume Theory for Elastic Stress Analysis in Solid Mechanics. Part I: Framework”, J. Applied Mechanics, Vol. 79, No. 5, 2012, 051006-11 (11 pages).
Cavalcante, M.A.A. and Pindera, M-J, “Generalized Finite-Volume Theory for Elastic Stress Analysis in Solid Mechanics. Part II: Results”. J. Applied Mechanics, Vol. 79, No. 5, 2012, 051007-13 (13 pages).