Microplane Model M4 for Concrete. I: Formulation with Work-Conjugate Deviatoric Stress

By Zdenek P. Bazant, F. Caner, I. Carol, M. Adley, S. Akers. 2000

334 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6b73225299687cfff1f410a1aca67dbc77d1d82e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

A review of constitutive models and modeling techniques for shape memory alloys (2016, background): “The static and kinematic constraints are sometimes combined to get a so-called double constrained model (Carol and Bazant, 1997; Bažant et al., 2000).”
Regularization of microplane damage models using an implicit gradient enhancement (2014, methodology): “The microplane model is a powerful tool for modeling concrete and other quasi-brittle materials (Bažant et al., 2000; Caner and Bažant, 2013a).”
Three dimensional combined fracture-plastic material model for concrete (2008, methodology): “Various concrete models have been proposed in the literature that are based on different approaches such as for instance the class of microplane models (Bažant et al., 2000) or models based on concrete micromechanics (Mattei et al.”
Confinement-Shear Lattice Model for Concrete Damage in Tension and Compression: I. Theory (2002, methodology): “Once, again, we note that the resulting mathematical formulation appears s lar to that of microplane models M4 and M5~Bažant et al. 2000a,b; Bazˇant and Caner, unpublished, 2003!, in which the crushing and pore collapse are modeled by an exponential bo ary on the volumetric component.”
Spectral Stiffness Microplane Model for Quasibrittle Composite Laminates—Part I: Theory (2008, methodology): “Exploiting the experience with microplane models for concrete, rocks and soils developed by Bažant and coworkers since the early eighties, we introduce for the stress-strain constitutive relation at the microplane level introduce a kinematic constraint of the microplanes, and we adopt the concept of”
Three-dimensional constitutive model for shape memory alloys based on microplane model (2002, positive): “After generalizing the microplane model for both tensile and compressive damage (BaÄ zant and Prat, 1988a,b), the microplane model and the corresponding numerical algorithm reached its present, very eeective formulation for concrete in BaÄ zant et al. (2000).”
A numerical model for reinforced concrete structures (2005, background): “Bazant and Prat (1988), Bazant et al. (1996), Bazant et al. (2000) or Carol and Bazant (1997).”
Multiscale modeling and characterization of granular matter: From grain kinematics to continuum mechanics (2011, methodology): “The effectiveness of the method is showcased by two examples: one linking discrete element computations with finite elements and another example linking a triaxial compression experiment using computed tomography and digital image correlation with finite element computation.”
Lattice Discrete Particle Model for Fiber-Reinforced Concrete. I: Theory (2012, methodology): “It is an improvement over the confinement-shear lattice model (Cusatis et al. 2003a, b), which along with the LDPM has constitutive laws analogous to those of the microplane model (Bažant et al. 2000; Bažant and Caner 2005).”
Hysteresis from Multiscale Porosity: Modeling Water Sorption and Shrinkage in Cement Paste (2015, methodology): “Hysteresis from Multiscale Porosity: Modeling Water Sorption and Shrinkage in Cement Paste Matthew B. Pinson Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA Enrico Masoero School of Civil Engineering and Geosciences, Newcastle University, Newcastle u”
A thermodynamically consistent approach to microplane theory. Part I. Free energy and consistent microplane stresses (2001, background): “That same feature, however, makes those formulations more general than the thermodynamic framework considered in this paper, and for them, the question of work conjugacy must be addressed in a dierent way (Ba zant et al., 2000b).”
Large-Strain Generalization of Microplane Model for Concrete and Application (2000, methodology): “Model M4, generalized for rate effects and finite strain (Bažant et al. 2000b; Caner and Bažant 2000), has provided excellent results in finite-element simulations of experiments of two kinds: (1) The penetration of projectiles into concrete walls, with or without perforation of the wall; and (2)…”
Fracturing Rate Effect and Creep in Microplane Model for Dynamics (2000, background): “Grateful appreciation is due to the U.S. Army Engineer Waterways Experiment Station (WES), Vicksburg, Mississippi, for funding the work of Z. P. Bažant under contract number DACA39-94-C-0025 with Northwestern University.”