A Finite Strain Gradient-Enhanced Micropolar Hyperelasto-Plasticity Continuum Approach for Localized Failure in Cohesive-Frictional Materials
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Cohesive-frictional materials, also denoted as geomaterials or quasi-brittle materials, comprise a wide range of materials occurring in basically all modern engineering disciplines. Their behavior is dominated by friction and cohesion between individual grains, and common characteristics of those materials are (i) nonlinear elastic and inelastic behavior, which is observed even at low stress levels, (ii) a low resistance in tension versus a potentially high compressive strength, (iii) a pronounced pressure dependency and (iv) complex failure mechanisms. Examples of cohesive-frictional material are concrete, mortar, masonry, rock and rock mass, clay, bone, but also man-made materials such as fiber-reinforced composites, high energetic materials, tough ceramics, and similar granular materials. In this talk, we discuss a gradient-enhanced micropolar continuum framework[1, 2], able to represent the highly complex material behavior of cohesive-frictional materials under various loading conditions. It is formulated in a thermodynamically consistent manner, considering finite inelastic deformations using the concept of hyperelasto-plasticity. Leveraging the micropolar continuum theory, the proposed approach accounts for the finite thickness of localized failure zones such as shear bands, dominated by micro mechanical effects. Furthermore, we discuss the numerical implementation using the finite element method (FEM) and the implicit material point method (iMPM). For validating the proposed approach, we demonstrate specific realizations of the approach, and based on a numerical study, we confirm the capabilities of the framework for modeling (i) cracking in tension, (ii) crushing in confined compression, and (iii) the formation of shear bands in mixed loading conditions. Finally, we discuss the application of the framework to a challenging practical engineering problem, i.e., the prediction of borehole failure. Thereby, we demonstrate the suitability of the approach to predict different borehole breakout types depending on the material properties. [1] Neuner, M., Regueiro, R. A., & Linder, C. (2022). A unified finite strain gradient-enhanced micropolar continuum approach for modeling quasi-brittle failure of cohesive-frictional materials. International Journal of Solids and Structures, 254, 111841. [2] Neuner, M., Vajari, S. A., Arunachala, P. K., & Linder, C. (2023). A better understanding of the mechanics of borehole breakout utilizing