An isotropic elasto-damage-plastic micromechanical framework of innovative pothole patching materials featuring high-toughness, low-viscosity nanomolecular resin

Abstract

In a recent companion paper, a three-dimensional isotropic elastic micromechanical framework was developed to predict the mechanical behaviors of the innovative asphalt patching materials reinforced with a high-toughness, low-viscosity nanomolecular resin, dicyclopentadiene (DCPD), under the splitting tension test (ASTM D6931). By taking advantage of the previously proposed isotropic elastic-damage framework and considering the plastic behaviors of asphalt mastic, a class of elasto-damage-plastic model, based on a continuum thermodynamic framework, is proposed within an initial elastic strain energy-based formulation to predict the behaviors of the innovative materials more accurately. Specifically, the governing damage evolution is characterized through the effective stress concept in conjunction with the hypothesis of strain equivalence; the plastic flow is introduced by means of an additive split of the stress tensor. Corresponding computational algorithms are implemented into three-dimensional finite elements numerical simulations, and the outcomes are systemically compared with suitably designed experimental results.

A thermodynamic damage model for 3D stress-induced mechanical characteristics and brittle–ductile transition of rock

“…Some scholars proposed models to reflect the pre-peak hardening nonlinear behaviour of rock based on elastoplastic theory (Feng and Liu, 1996; Makhnenko and Labuz, 2015; Siddiquee and Hamdi, 2019; Wang et al., 2018, 2020; Xu, 2021; Zheng et al., 2022d). To characterize the post-peak softening of rock, some scholars have systematically studied mechanical behaviour of rock using macroscopic and microscopic mechanics and established some elastoplastic damage constitutive models (Bikong et al., 2015; Feng et al., 2004; Feng and Yu, 2010; Ju, 1989, 1990; Kim and Lee, 2011; Qu, 2021; Shao and Rudnicki, 2000; Wang and Ma, 2022; Zhang, 2022; Zhao et al., 2018; Zheng et al., 2022c). At present, there are only a few reports on the models that reflect the brittle–ductile behaviours of rock (Lubarda et al., 1996; Saksala and Ibrahimbegovic, 2014; Wang et al., 2020; Zheng et al., 2023), and these models only consider the influence of σ 3 on the brittle–ductile behaviour of rocks under conventional triaxial compression but cannot reflect the influence of σ 2 on the post-peak brittle–ductile behaviours of rock under true triaxial compression.…”

Continuum damage mechanics-based finite-volume homogenization of unidirectional elastoplastic fiber-reinforced composites

“…Onodera and Okabe (2020) proposed an analytical model for determining the effective stiffness and mechanical behavior of polymer matrix composite laminates using continuum damage mechanics. Zhang et al (2021) developed an isotropic elasto-damage-plastic micromechanics model to predict the mechanical behaviors of innovative asphalt patching materials. Praud et al (2020) developed a multi-scale periodic homogenization model to predict thermoplastic-based composites with viscoelastic-viscoplastic and ductile damage mechanisms.…”

“…Onodera and Okabe (2020) proposed an analytical model for determining the effective stiffness and mechanical behavior of polymer matrix composite laminates using continuum damage mechanics. Zhang et al. (2021) developed an isotropic elasto-damage-plastic micromechanics model to predict the mechanical behaviors of innovative asphalt patching materials.…”

Hydro-mechanical coupling characteristics and damage constitutive model of low-permeability granite under triaxial compression

“…Research on rock hydro-mechanical coupling has achieved abundant results, and scholars have established a variety of models to reflect the coupling of stress and seepage, mainly including three kinds: porous medium models (also known as continuous medium models), fracture network models, and dual medium models (Liu et al., 2016; Wang et al., 2020b, 2022; Yi et al., 2019; Zhang et al., 2022; Zhao et al., 2021). Based on porous medium model, scholars established one-dimensional consolidation theory and fluid-structure coupling theory (Biot, 1941; Terzaghi, 1943; Zienkiewicz and Shiomi, 1984).…”