17 Microplane Modeling for Inelastic Responses …
327
Kadkhodaei, M., et al. (2007a). Modeling of shape memory alloys based on microplane theory.
Journal of Intelligent Material Systems and Structures, 19(5), 541–550.
Kadkhodaei, M., et al. (2007b). Microplane modelling of shape memory alloys. Physica Scripta,
T129, 329–334.
Karamooz Ravari, M. R., Kadkhodaei, M., & Ghaei, A. (2015). A microplane constitutive model
for shape memory alloys considering tension–compression asymmetry. Smart Materials and
Structures, 24(7).
Karamooz-Ravari, M. R., & Shahriari, B. (2017). Numerical implementation of the microplane
constitutive model for shape memory alloys. In Proceedings of the Institution of Mechanical
Engineers, Part L: Journal of Materials: Design and Applications.
Karamooz-Ravari, M. R., et al. (2018). Modeling the cyclic shape memory and superelasticity of
selective laser melting fabricated NiTi. International Journal of Mechanical Sciences, 138–139,
54–61.
Kirane, K., Su, Y., & Bažant, Z. P. (2015). Strain-rate-dependent microplane model for high-rate
comminution of concrete under impact based on kinetic energy release theory. Proceedings of
the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2182).
Kuhl, E., et al. (2001). Microplane modelling and particle modelling of cohesive-frictional materials.
In P. A. Vermeer, et al. (Eds.) Continuous and Discontinuous Modelling of Cohesive-Frictional
Materials (pp. 31–46). Berlin, Heidelberg: Springer Berlin Heidelberg.
Kuhl, E., & Ramm, E. (1998). On the linearization of the microplane model. Mechanics of Cohesivefrictional Materials, 3, 343–364.
Leukart, M., & Ramm, E. (2003). A comparison of damage models formulated on different material
scales. Computational Materials Science, 28(3–4), 749–762.
Leukart, M., & Ramm, E. (2006). Identification and Interpretation of Microplane Material Laws.
Journal of Engineering Mechanics, 132(3), 295–305.
Li, C., et al. (2017). Spherocylindrical microplane constitutive model for shale and other anisotropic
rocks. Journal of the Mechanics and Physics of Solids, 103, 155–178.
Mehrabi, R., & Kadkhodaei, M. (2013). 3D phenomenological constitutive modeling of shape
memory alloys based on microplane theory. Smart Materials and Structures, 22(2).
Mehrabi, R., Kadkhodaei, M., & Chirani, S. A. (2012). Microplane modeling of martensite reorientation in shape memory alloys. In European Congress on Computational Methods in Applied
Sciences and Engineering. Vienna, Austria: ECCOMAS.
Mehrabi, R., Kadkhodaei, M., & Elahinia, M. (2014a). A thermodynamically-consistent microplane
model for shape memory alloys. International Journal of Solids and Structures, 51(14), 2666–
2675.
Mehrabi, R., Kadkhodaei, M., & Ghaei, A. (2012b). Numerical Implementation of a Thermomechanical Constitutive Model for Shape Memory Alloys Using Return Mapping Algorithm and
Microplane Theory. Advanced Materials Research, 516–517, 351–354.
Mehrabi, R., et al. (2014b). Microplane modeling of shape memory alloy tubes under tension,
torsion, and proportional tension–torsion loading. Journal of Intelligent Material Systems and
Structures, 26(2), 144–155.
Nˇ emeˇ cek, J., et al. (2002). Microplane models: computational aspects and proposed parallel
algorithm. Computers & Structures, 80(27–30), 2099–2108.
Ožbolt, J., Li, Y., & Kožar, I. (2001). Microplane model for concrete with relaxed kinematic
constraint. International Journal of Solids and Structures, 38(16), 2683–2711.
Poorasadion, S., et al. (2013). An improvement on the Brinson model for shape memory alloys
with application to two-dimensional beam element. Journal of Intelligent Material Systems and
Structures, 25(15), 1905–1920.
Prat, P. C., & Bažant, Z. P. (1991). Microplane model for triaxial deformation of saturated cohesive
soils. Journal of Geotechnical Engineering, 117(6), 891–912.
Qidwai, M., & Lagoudas, D. (2000). On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material. International Journal of Plasticity, 16(10),
1309–1343.
327
Kadkhodaei, M., et al. (2007a). Modeling of shape memory alloys based on microplane theory.
Journal of Intelligent Material Systems and Structures, 19(5), 541–550.
Kadkhodaei, M., et al. (2007b). Microplane modelling of shape memory alloys. Physica Scripta,
T129, 329–334.
Karamooz Ravari, M. R., Kadkhodaei, M., & Ghaei, A. (2015). A microplane constitutive model
for shape memory alloys considering tension–compression asymmetry. Smart Materials and
Structures, 24(7).
Karamooz-Ravari, M. R., & Shahriari, B. (2017). Numerical implementation of the microplane
constitutive model for shape memory alloys. In Proceedings of the Institution of Mechanical
Engineers, Part L: Journal of Materials: Design and Applications.
Karamooz-Ravari, M. R., et al. (2018). Modeling the cyclic shape memory and superelasticity of
selective laser melting fabricated NiTi. International Journal of Mechanical Sciences, 138–139,
54–61.
Kirane, K., Su, Y., & Bažant, Z. P. (2015). Strain-rate-dependent microplane model for high-rate
comminution of concrete under impact based on kinetic energy release theory. Proceedings of
the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2182).
Kuhl, E., et al. (2001). Microplane modelling and particle modelling of cohesive-frictional materials.
In P. A. Vermeer, et al. (Eds.) Continuous and Discontinuous Modelling of Cohesive-Frictional
Materials (pp. 31–46). Berlin, Heidelberg: Springer Berlin Heidelberg.
Kuhl, E., & Ramm, E. (1998). On the linearization of the microplane model. Mechanics of Cohesivefrictional Materials, 3, 343–364.
Leukart, M., & Ramm, E. (2003). A comparison of damage models formulated on different material
scales. Computational Materials Science, 28(3–4), 749–762.
Leukart, M., & Ramm, E. (2006). Identification and Interpretation of Microplane Material Laws.
Journal of Engineering Mechanics, 132(3), 295–305.
Li, C., et al. (2017). Spherocylindrical microplane constitutive model for shale and other anisotropic
rocks. Journal of the Mechanics and Physics of Solids, 103, 155–178.
Mehrabi, R., & Kadkhodaei, M. (2013). 3D phenomenological constitutive modeling of shape
memory alloys based on microplane theory. Smart Materials and Structures, 22(2).
Mehrabi, R., Kadkhodaei, M., & Chirani, S. A. (2012). Microplane modeling of martensite reorientation in shape memory alloys. In European Congress on Computational Methods in Applied
Sciences and Engineering. Vienna, Austria: ECCOMAS.
Mehrabi, R., Kadkhodaei, M., & Elahinia, M. (2014a). A thermodynamically-consistent microplane
model for shape memory alloys. International Journal of Solids and Structures, 51(14), 2666–
2675.
Mehrabi, R., Kadkhodaei, M., & Ghaei, A. (2012b). Numerical Implementation of a Thermomechanical Constitutive Model for Shape Memory Alloys Using Return Mapping Algorithm and
Microplane Theory. Advanced Materials Research, 516–517, 351–354.
Mehrabi, R., et al. (2014b). Microplane modeling of shape memory alloy tubes under tension,
torsion, and proportional tension–torsion loading. Journal of Intelligent Material Systems and
Structures, 26(2), 144–155.
Nˇ emeˇ cek, J., et al. (2002). Microplane models: computational aspects and proposed parallel
algorithm. Computers & Structures, 80(27–30), 2099–2108.
Ožbolt, J., Li, Y., & Kožar, I. (2001). Microplane model for concrete with relaxed kinematic
constraint. International Journal of Solids and Structures, 38(16), 2683–2711.
Poorasadion, S., et al. (2013). An improvement on the Brinson model for shape memory alloys
with application to two-dimensional beam element. Journal of Intelligent Material Systems and
Structures, 25(15), 1905–1920.
Prat, P. C., & Bažant, Z. P. (1991). Microplane model for triaxial deformation of saturated cohesive
soils. Journal of Geotechnical Engineering, 117(6), 891–912.
Qidwai, M., & Lagoudas, D. (2000). On thermomechanics and transformation surfaces of polycrystalline NiTi shape memory alloy material. International Journal of Plasticity, 16(10),
1309–1343.