A continuum model for concrete informed by mesoscale studies

Abstract

The paper describes a novel computational approach to refine continuum models for penetration calculations which involves two stages. At the first stage, a trial continuum model is used to model penetration into a concrete target. Model parameters are chosen to match experimental data on penetration depth. Deformation histories are recorded at few locations in the target around the penetrator. In the second stage, these histories are applied to the boundaries of a representative volume comparable to the element size in large scale penetration simulation. Discrete-continuum approach is used to model the deformation and failure of the material within the representative volume. The same deformation histories are applied to a single element which uses the model to be improved. Continuum model may include multiple parameters or functions which cannot be easily found using experimental data. We propose using mesoscale response to constrain such parameters and functions. Such tuning of the continuum model using typical deformation histories experienced by the target material during the penetration allows us to minimize the parameter space and build better models for penetration problems which are based on physics of penetration rather than intuition and ad hoc assumptions.

A thermomechanical anisotropic continuum model for geological materials with multiple joint sets

“…This mesoscale model considers an isotropic elastic‐inelastic rock material with noncompliant discrete joint sets that may have arbitrary orientations. A similar approach was used in other works to create simulated data for jointed or particulate media to help calibrate material constants for continuum constitutive models.…”

“…This mesoscale model considers an isotropic elastic-inelastic rock material with noncompliant discrete joint sets that may have arbitrary orientations. A similar approach was used in other works 5,[11][12][13] to create simulated data for jointed or particulate media to help calibrate material constants for continuum constitutive models. It has been observed that the response of mesoscale simulations of an RVE may exhibit some dependence on the shape of the RVE, especially if the joint density is low and the friction coefficient on the joint sets is high.…”

“…The parameters a 12 and c 12 control similar parameters for shearing on the joints. Because the joint density is not explicitly present in the anisotropic model, c 12 and a 12 need to be calibrated for a specific joint density and persistency by comparing the results of simulations with either the mesoscale or experimental results. As it is shown in Figure 7, increased joint density leads to an increased contrast between the minimum and maximum values of strength.…”

Modeling the hysteretic responses of RC shear walls under cyclic loading by an energy-based plastic-damage model for concrete

“…Similar work includes Feng et al (2018) and Palermo and Trombetti (2016). Note that damage mechanics have also been widely applied to the modeling of concrete materials under static (Chen et al, 2018;Jin et al, 2018a;Li and Wu, 2018;Suchorzewski et al, 2018;Vorobiev et al, 2018), fatigue (Ding and Li, 2018), and dynamic (Hu et al, 2018;Jin et al, 2018bJin et al, , 2018cYang et al, 2019) loadings as well as harsh environments (Dong et al, 2018;Luo et al, 2018). The remainder of the paper is structured as follows.…”

Damage evolution in fibrous composites caused by interfacial debonding

“…The damage evolution in fibrous composites mainly includes pull-out of fibers (Bechel and Sottos, 1998;Jiang et al, 2018;Lin et al, 2001;Park et al, 2017;Tsai and Kim, 1996), crack propagation in matrix and fracture of fibers (Brinson, 1999;Jin et al, 2017;Kumar and Talreja, 2003;Mihai et al, 2016;Okabe et al, 2017;Vorobiev et al, 2017;Voyiadjis and Deliktas, 2000;Wu and Ohno, 1999), and interfacial debonding (Caiazzo and Costanzo, 2000;Han et al, 2001;Harik and Cairncross, 2000;Heidarhaei et al, 2017;Li, 2018;Nedjar, 2014;Pupurs and Varna, 2015;Zhang et al, 2018).…”