Constitutive model for bimodular elastic damage of concrete

Babu, Ravi Raveendra

doi:10.1590/s1679-78252010000200003

Cited by 5 publications

(4 citation statements)

References 27 publications

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“…Later, the model was revised and improved by some scholars, among which the representative elastic damage constitutive models were established by Papa and Taliercio (1996), Comi and Perego (2001). Babu et al (2010) proposed a phenomenological constitutive model for elastic damage of concrete and selected scalar damage parameters to quantify the damage. In recent years, there were few studies on the elastic damage constitutive model of concrete, and most of the studies focused on the elastoplastic damage constitutive model (Li et al 2017, Huang et al 2017, Feng et al 2018, and Kim et al 2021).…”

Section: Introductionmentioning

confidence: 99%

Double scalar elastic damage constitutive model considering shear damage

Zhang

Shen

2021

Lat. Am. j. solids struct.

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Section: Introductionmentioning

confidence: 99%

Double scalar elastic damage constitutive model considering shear damage

Zhang

Shen

2021

Lat. Am. j. solids struct.

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“…Recent years, research has been conducted to develop efficient and accurate constitutive models [1][2][3][4] to improve the fidelity of the numerical simulations. The Riedel-Hiermaier-Thoma (RHT) concrete model, as a coupled damage-viscoplasticity model, developed by Riedel 5 is readily available to all users of the commercial hydrocode AUTODYN 6 .…”

Section: Introductionmentioning

confidence: 99%

Determination and Validation of Parameters for Riedel-Hiermaier-Thoma Concrete Model

Ding¹,

Tang²,

Zhang³

et al. 2013

DSJ

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Numerical modelling of the complex physical processes such as concrete structures subjected to highimpulsive loads relies on suitable material models appropriate for impact and explosion problems. One of the extensive used concrete material models, the RHT model, contains all essential features of concrete materials subjected to high dynamic loading. However, the application of the RHT model requires a set of material properties and model parameters without which reliable results cannot be expected. The present paper provides a detailed valuation of the RHT model and proposes a method of determining the model parameters for C40 concrete. Furthermore, the dynamic compressive and tensile strength function of the model formulation are modified to enhance the performance of the model as implemented in the hydrocode AUTODYN. The performance of the determined parameters of the modified RHT model is demonstrated by comparing to available experimental data, and further verified via simulations of physical experiments of concrete penetration by steel projectiles. The results of numerical analyses are found closely match the penetration depth and the crater size in the front surface of the concrete targets.

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“…Material properties of different materials are extremely important for numerical modelling of those materials which are sometimes very challenging. Elastic-brittle models [48,49] can model brittle and quasi-brittle materials whereas elasto-plastic models [50,51] can model ductile materials. The models discussed in this thesis is able to simulate brittle and quasi-brittle rock by considering their material properties and different appropriate damage evolution laws.…”

Section: Rock Properties and Previous Studiesmentioning

confidence: 99%

“…A review of continuum damage-based approaches for fracture analysis in quasi-brittle materials is described by de Borst [46]. Elastic-brittle models [48,49] can model brittle and quasi-brittle materials whereas elasto-plastic models [50,51] are used to model ductile materials.…”

Section: Introductionmentioning

confidence: 99%

Numerical modelling of damage evolution and fracture propagation in brittle materials

Mondal¹

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The understanding of damage evolution and fracture propagation in rocks as a brittle material is important for many industrial applications; for instance to investigate mine safety, to analyze material failure in manufacturing and construction and to understand the behaviour of pre-existing fractures on hydraulic fracturing in oil and gas extractions. Currently, numerical studies for fracture propagation in brittle rock specimens with pre-existing fractures show strong mesh dependence. To address the issue of mesh independence, further numerical investigation and improvement of damage models under a fully 3-D assumption is critical.In this thesis, we develop numerical tools to investigate the effect of model parameters, including the heterogeneity of rock by allowing Young's modulus to vary spatially, and of the geometry of a pre-existing fracture on the stress-strain response and damage evolution in rocks. The fracture propagation model uses continuum damage mechanics where the elastic modulus reduces with damage as the rock is weakened through the formation of fractures. Two failure conditions are presented, a micromechanical model [1,2] using the unified strength theory [3,4] and a strain-based form of a modified von-Mises condition [5]. Various damage evolution laws are considered which can simulate a range of behaviour from brittle to quasi-brittle. Four different damage evolution laws are analyzed for a 3-D rectangular single flaw specimen to deliver the most realistic results. The quasi-static equilibrium equation is solved for various cases of brittle failure and damage evolution for specimens under loading using the Finite Element Method (FEM) with tetrahedron elements on unstructured meshes. In contrast to previous implementations based on rectangular grids, the use of unstructured meshes provides higher geometrical flexibility and allows a more accurate way of including geological features, such as flaws, through locally adapted (FEM) meshes.An important factor affecting the mechanical behaviour during the failure process is the heterogeneity of the rock. Heterogeneity is simulated by sampling the initial local Young's modulus from a Weibull distribution over a cubic grid. The values are then interpolated to the computational (unstructured FEM) mesh. This approach introduces an additional length scale for rock heterogeneity represented by the cell size in the sampling grid that is independent of FEM mesh size. This approach is different from previous implementations of rock heterogeneity [6][7][8] where the length scale is determined by the mesh resolution.A well-known problem which arises in "local" damage models is that they suffer from mesh dependency [2] and strain localization [9]. In this work, we apply the non-local implicit gradient damage formulation of Peerlings et al.[5] to address the issue of mesh dependency. The basic concept of the non-local implicit gradient model is that the strain at a given point depends not only on the strain at that point but also on the nearby strain field. The lo...

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Constitutive model for bimodular elastic damage of concrete

Cited by 5 publications

References 27 publications

Double scalar elastic damage constitutive model considering shear damage

Double scalar elastic damage constitutive model considering shear damage

Determination and Validation of Parameters for Riedel-Hiermaier-Thoma Concrete Model

Numerical modelling of damage evolution and fracture propagation in brittle materials

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