326
M. R. Karamooz-Ravari et al.
Bažant, Z. P., et al. (2000a). Fracturing rate effect and creep in microplane model for dynamics.
Journal of Engineering Mechanics, 126(9), 962–970.
Bažant, Z. P., et al. (2000b). Large-strain generalization of microplane model for concrete and
application. Journal of engineering mechanics, 126(9), 971–980.
Brinson, L. C. (1993). One-dimensional constitutive behavior of shape memory alloys: Thermomechanical derivation with non-constant material functions and redefined martensite internal
variable. Journal of Intelligent Material Systems and Structures, 4(2), 229–242.
Brocca, M., & Bažant, Z. P. (2000). Microplane model and metal plasticity. ASME Applied
Mechanics Reviews, 53(10), 265–281.
Brocca, M., Brinson, L., & Bažant, Z. (2002). Three-dimensional constitutive model for shape
memory alloys based on microplane model. Journal of the Mechanics and Physics of Solids,
50(5), 1051–1077.
Caner, F. C., & Carol, I. (2006). Microplane constitutive model and computational framework for
blood vessel tissue. Journal of Biomechanical Engineering, 128(3), 419–427.
Caner, F. C., de Carlos Blasco, V., & Egido, M. G. (2019). Microplane models for elasticity and
inelasticity of engineering materials. In Handbook of nonlocal continuum mechanics for materials
and structures (pp. 1065–1097). Springer.
Caner, F. C., et al. (2007). Hyperelastic anisotropic microplane constitutive model for annulus
fibrosus. Journal of Biomechanical Engineering, 129(5), 632–641.
Carol, I., & Bazant, Z. P. (1997). Damage and plasticity in microplane theory. International Journal
of Solids and Structures, 34(29), 3807–3835.
Carol, I., Bažant, Z. P., & Prat, P. C. (1991). Geometric damage tensor based on microplane model.
Journal of engineering mechanics, 117(10), 2429–2448.
Carol, I., Jirásek, M., & Bažant, Z. P. (2004). A framework for microplane models at large strain, with
application to hyperelasticity. International Journal of Solids and Structures, 41(2), 511–557.
Chang, K.-T., & Sture, S. (2006). Microplane modeling of sand behavior under non-proportional
loading. Computers and Geotechnics, 33(3), 177–187.
Chatti, M., et al. (2019). Modelling of the viscoelastic behaviour with damage induced anisotropy
of a plastic-bonded explosive based on the microplane approach. International Journal of Solids
and Structures, 168, 13–25.
De Angelo, M., Spagnuolo, M., D’Annibale, F., Pfaff, A., Hoschke, K., Misra, A., et al. (2019).
The macroscopic behavior of pantographic sheets depends mainly on their microstructure: experimental evidence and qualitative analysis of damage in metallic specimens. Continuum Mechanics
and Thermodynamics, 31(4), 1181–1203.
Dean, A., et al. (2016). A thermodynamically consistent framework to couple damage and plasticity
microplane-based formulations for fracture modeling: development and algorithmic treatment.
International Journal of Fracture, 203(1–2), 115–134.
dell’Isola, F., Giorgio, I., Pawlikowski, M., & Rizzi, N. L. (2016). Large deformations of planar
extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium. Proceedings of the Royal Society A: Mathematical, Physical and
Engineering Sciences, 472(2185), 20150790.
Etse, G., Nieto, M., & Steinmann, P. (2003). A micropolar microplane theory. International Journal
of Engineering Science, 41(13–14), 1631–1648.
Huang, L. C., et al. (2017). Numerical aspects of microplane constitutive models for concrete.
Applied Mathematical Modelling, 41, 530–548.
Indriyantho, B. R., Zreid, I., & Kaliske, M. (2019). Finite strain extension of a gradient enhanced
microplane damage model for concrete at static and dynamic loading. Engineering Fracture
Mechanics, 216.
Jalalpour, A., et al. (2019). On the effects of numerical integration on accuracy of microplane
modeling of shape memory alloys, 24ème Congrès Français de Mécanique. France: Brest.
Jin, C., et al. (2016). Elastic microplane formulation for transversely isotropic materials. Journal
of Applied Mechanics, 84(1).
M. R. Karamooz-Ravari et al.
Bažant, Z. P., et al. (2000a). Fracturing rate effect and creep in microplane model for dynamics.
Journal of Engineering Mechanics, 126(9), 962–970.
Bažant, Z. P., et al. (2000b). Large-strain generalization of microplane model for concrete and
application. Journal of engineering mechanics, 126(9), 971–980.
Brinson, L. C. (1993). One-dimensional constitutive behavior of shape memory alloys: Thermomechanical derivation with non-constant material functions and redefined martensite internal
variable. Journal of Intelligent Material Systems and Structures, 4(2), 229–242.
Brocca, M., & Bažant, Z. P. (2000). Microplane model and metal plasticity. ASME Applied
Mechanics Reviews, 53(10), 265–281.
Brocca, M., Brinson, L., & Bažant, Z. (2002). Three-dimensional constitutive model for shape
memory alloys based on microplane model. Journal of the Mechanics and Physics of Solids,
50(5), 1051–1077.
Caner, F. C., & Carol, I. (2006). Microplane constitutive model and computational framework for
blood vessel tissue. Journal of Biomechanical Engineering, 128(3), 419–427.
Caner, F. C., de Carlos Blasco, V., & Egido, M. G. (2019). Microplane models for elasticity and
inelasticity of engineering materials. In Handbook of nonlocal continuum mechanics for materials
and structures (pp. 1065–1097). Springer.
Caner, F. C., et al. (2007). Hyperelastic anisotropic microplane constitutive model for annulus
fibrosus. Journal of Biomechanical Engineering, 129(5), 632–641.
Carol, I., & Bazant, Z. P. (1997). Damage and plasticity in microplane theory. International Journal
of Solids and Structures, 34(29), 3807–3835.
Carol, I., Bažant, Z. P., & Prat, P. C. (1991). Geometric damage tensor based on microplane model.
Journal of engineering mechanics, 117(10), 2429–2448.
Carol, I., Jirásek, M., & Bažant, Z. P. (2004). A framework for microplane models at large strain, with
application to hyperelasticity. International Journal of Solids and Structures, 41(2), 511–557.
Chang, K.-T., & Sture, S. (2006). Microplane modeling of sand behavior under non-proportional
loading. Computers and Geotechnics, 33(3), 177–187.
Chatti, M., et al. (2019). Modelling of the viscoelastic behaviour with damage induced anisotropy
of a plastic-bonded explosive based on the microplane approach. International Journal of Solids
and Structures, 168, 13–25.
De Angelo, M., Spagnuolo, M., D’Annibale, F., Pfaff, A., Hoschke, K., Misra, A., et al. (2019).
The macroscopic behavior of pantographic sheets depends mainly on their microstructure: experimental evidence and qualitative analysis of damage in metallic specimens. Continuum Mechanics
and Thermodynamics, 31(4), 1181–1203.
Dean, A., et al. (2016). A thermodynamically consistent framework to couple damage and plasticity
microplane-based formulations for fracture modeling: development and algorithmic treatment.
International Journal of Fracture, 203(1–2), 115–134.
dell’Isola, F., Giorgio, I., Pawlikowski, M., & Rizzi, N. L. (2016). Large deformations of planar
extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium. Proceedings of the Royal Society A: Mathematical, Physical and
Engineering Sciences, 472(2185), 20150790.
Etse, G., Nieto, M., & Steinmann, P. (2003). A micropolar microplane theory. International Journal
of Engineering Science, 41(13–14), 1631–1648.
Huang, L. C., et al. (2017). Numerical aspects of microplane constitutive models for concrete.
Applied Mathematical Modelling, 41, 530–548.
Indriyantho, B. R., Zreid, I., & Kaliske, M. (2019). Finite strain extension of a gradient enhanced
microplane damage model for concrete at static and dynamic loading. Engineering Fracture
Mechanics, 216.
Jalalpour, A., et al. (2019). On the effects of numerical integration on accuracy of microplane
modeling of shape memory alloys, 24ème Congrès Français de Mécanique. France: Brest.
Jin, C., et al. (2016). Elastic microplane formulation for transversely isotropic materials. Journal
of Applied Mechanics, 84(1).