Large-Strain Generalization of Microplane Model for Concrete and Application

Bažant, Zdeněk P.; Adley, Mark D.; Carol, Ignacio; Jirásek, Milan; Akers, Stephen A.; Rohani, Behzad; Cargile, James; Caner, Ferhun C.

doi:10.1061/(asce)0733-9399(2000)126:9(971)

Cited by 85 publications

(61 citation statements)

References 22 publications

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“…Multi-plane models with different formulations have also been successfully developed for other materials such as polycrystalline metals, rock, soil, rigid foam and shape memory alloys, fiber-reinforced concrete and composite laminates and so on [27]. Some great advantages of multi-plane models were reviewed in Bazant et al [28] and Brocca and Bazant [29]. The history of the trend of development in multi-plane models for modeling concrete behavior has been briefly explained in the Caner and Bazant's [30] literature.…”

Section: Constitutive Equations For the Rate Dependent Multi-laminatementioning

confidence: 99%

Multi-Laminate Rate-Dependent Modelling of Static and Dynamic Concrete Behavior through Damage Formulation

Sadrnejad

Hoseinzadeh

2017

Scientia Iranica

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Mathematical simulation of the nonlinear tri-dimensional mechanical behavior of quasi-brittle materials like concrete is one of the biggest challenges in the engineering science. It is vital to have the knowledge of the response of concrete specimens subjected to low and high strain rate deformation for the analysis of concrete structures under the static and dynamic loading cases. The behavior of this material is generally known to be strain rate sensitive. Among phenomena of different orientation, the multi plane models, like multi-laminate models using a constitutive equation in a vectorial form rather than tensorial form by means of capturing interactions, can meet this goal adequately. This paper suggests a robust rate dependent damage based model in the multi-planes framework accomplished with minimum parameters for calibration and appropriate for engineering purposes. This damage formulation has been built on the basis of two types of essential damage, axial damage and shear damage, that basically can happen on each sampling plane and based on this concept two new axial and shear damage functions are proposed. Model verification has been studied under different compressive and tensile loading rates, comparing the results of the proposed model with the experimental data and Mohr-Coulomb failure criterion envelope line.

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Section: Constitutive Equations For the Rate Dependent Multi-laminatementioning

confidence: 99%

Multi-Laminate Rate-Dependent Modelling of Static and Dynamic Concrete Behavior through Damage Formulation

Sadrnejad

Hoseinzadeh

2017

Scientia Iranica

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“…But, the elastic parts of strains as well as the total volumetric strains must be in the small range. Thus, the algorithm used should guarantee that the energy dissipation by large inelastic strains is nonnegative (Bažant et al, 2000). Using work conjugate strain and stress tensors is appropriate because the strain will be holonomic (path-dependent), and strain components can be characterized as meaningful deformation measures (Ji et al, 2010).…”

Section: Large Deformation Generalizationmentioning

confidence: 99%

“…(3.132) (the third relation) is still affected by volumetric changes, since it depends on the value of J . Additive partitioning of large strain is proper and applicable; however, it is limited to moderately large strains (up to about 10%) (Bažant et al, 2000).…”

Section: Decomposing Finite Volumetric and Deviatoric Strainsmentioning

confidence: 99%

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

Tehrani¹

2013

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Lightweight advanced materials are critical in the manufacturing of many Army vehicles. Recently, numerical tools have been utilized to customize experiments to achieve optimized behavior of micro/nano polymer composites (MNPCs). Most numerical studies are based on characterizing the MNPCs through simple microstructures, as circular particles or straight fibers embedded in a specific polymer matrix. Although these geometries are effective in virtually modeling some types of composite material behavior, they fail to address some critical key Names of Under Graduate students supportedPERCENT_SUPPORTED NAME FTE Equivalent:Total Number:The number of undergraduates funded by this agreement who graduated during this period with a degree in science, mathematics, engineering, or technology fields:The number of undergraduates funded by your agreement who graduated during this period and will continue to pursue a graduate or Ph.D. degree in science, mathematics, engineering, or technology fields:Number of graduating undergraduates who achieved a 3.5 GPA to 4.0 (4.0 max scale): Number of graduating undergraduates funded by a DoD funded Center of Excellence grant for Education, Research and Engineering:The number of undergraduates funded by your agreement who graduated during this period and intend to work for the Department of DefenseThe number of undergraduates funded by your agreement who graduated during this period and will receive scholarships or fellowships for further studies in science, mathematics, engineering or technology fields: Student Metrics This section only applies to graduating undergraduates supported by this agreement in this reporting periodThe number of undergraduates funded by this agreement who graduated during this period: 0.00 ...... Names of Personnel receiving masters degrees Inventions (DD882) Scientific ProgressBecause the mechanical responses of polymers and many types of polymer composites are in the large deformation range, the Eulerian or Lagrangian concept is required for measuring the stress and strain. On the other hand, developing a large deformation based constitutive model requires a number of considerations, and should be performed from a thermodynamics point of view to study the motion of each component of the material. Even though such approach is precise and physically sound, it is limited to just one type of material. Furthermore, polymers show high dependency to the rate and time of the applied load; hence, employing viscoelastic, viscoplastic and viscodamage models is necessary. To address these issues, a consistent framework is developed to generalize elastic/viscoelastic and plastic/viscoplastic models from small strain to the large deformation range. The developed continuum based app...

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“…The micro-plane model to nite strain was generalized in [15,16]. There are also more micro-plane model formulations in the literature [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

An Anisotropic Multi-plane Elastic-Damage Model with Axial and Shear Damage and Its Application to Concrete Behavior

Sadrnejad

Hoseinzadeh

2017

Scientia Iranica

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Abstract. The prediction of material response is necessary for the analysis of structure under static or dynamic loading. Mathematical modeling of the nonlinear tri-dimensional mechanical behavior of quasi-brittle materials, like concrete, caused by damaging and plasticity e ects is one of the most serious classical challenges we face in the engineering science. Among phenomena of di erent orientations, the micro-plane models, like multiplanes models, which use a constitutive equation in a vectorial form rather than tensorial form by means of capturing interactions, can serve this goal adequately. This paper presents a simple realistic and robust damage based model in the multi-plane framework accomplished with a few parameters for calibration and suitable for engineering purposes without volumetric-deviatoric split of strain tensor and its problems. This damage formulation has been built on the basis of two types of fundamental damage, namely, axial damage and shear damage, that can essentially occur on each micro-plane and, based on this concept, two new axial and shear damage functions are presented. By comparing the results of the proposed model and experimental data, model veri cation has been done under di erent loading/unloading/reloading stress/strain paths.

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Large-Strain Generalization of Microplane Model for Concrete and Application

Cited by 85 publications

References 22 publications

Multi-Laminate Rate-Dependent Modelling of Static and Dynamic Concrete Behavior through Damage Formulation

Multi-Laminate Rate-Dependent Modelling of Static and Dynamic Concrete Behavior through Damage Formulation

Microstructure-Based Computational Modeling of Mechanical Behavior of Polymer Micro/Nano Composites

An Anisotropic Multi-plane Elastic-Damage Model with Axial and Shear Damage and Its Application to Concrete Behavior

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