The Micromechanical Model Of The Motion Evolution Of Ellipsoidal Inclusions In A Viscous Matrix

Natural structural deformation materials(rocks)are often very diverse in composition and multi-scale in structure.From the perspective of the deformed rock as a whole(large-scale),many secondary elements with different shapes and different rheological strength constitute the rock.A key purpose of tectonic geology research is to reveal the rheological field of macro-area deformation through actual observation of deformed structures.Rheological field distribution is common in high-strain rocks in nature.Many researchers have ignored the distribution of rheological fields in traditional deformation analysis based on the theory of solid continuous deformation mechanism.Therefore,there has been a lack of deeper understanding and understanding on how to distribute rheological fields.In recent years,research on the distribution of rheological fields in lithospheric rheological rocks has become a research focus in the field of micromechanical.Many researchers have developed a variety of micromechanical models to study the motion evolution mechanism of ellipsoidal inclusions embedded in viscosity materials.At present,the evolution of deformable ellipsoid inclusions and rigid ellipsoid inclusions is limited to the sparse solution(ie,the matrix is infinitely large,and the ellipsoid inclusions are infinitely small relative to the matrix).This paper proposes a micromechanical theory based on the Mori-Tanaka method,and establishes a micromechanical model of the evolution of deformable ellipsoidal inclusions and rigid ellipsoidal inclusions under a finite volume fraction in a viscosity matrix.Evolution process under the volume fraction.In this paper,the viscosity micromechanical method is used to study the evolution mechanism of deformable ellipsoidal inclusions and rigid ellipsoidal inclusions in viscous materials,and the evolution of ellipsoidal inclusions at different volume fractions is analyzed.The specific tasks are as follows:(1)Based on Eshelby's micromechanical theory and Mori-Tanaka method,a micromechanical model for the evolution of deformable ellipsoidal inclusions and rigid ellipsoidal inclusions under a finite volume fraction in a viscosity matrix is established.Theevolution law of ellipsoid inclusions with a finite body fraction.(2)A homogeneous viscoplastic finite element method was developed to numerically simulate the evolution of elliptical inclusions in a viscosity matrix under different boundary conditions,and a comparative study with a micromechanical theoretical model verified the established Accuracy and reliability of a micromechanical model for the evolution of inclusions with finite volume fraction ellipsoids.(3)Consider the inclusion of deformable ellipsoidal inclusions and rigid ellipsoidal inclusions separately,and use the developed viscoplastic micromechanical model to study the evolution mechanism of ellipsoidal inclusions at different volume fractions.The research results of this paper will provide a theoretical basis and a helpful reference for understanding the evolution law of ellipsoidal inclusions embedded in viscosity materials under different volume fractions and the flow field partitioning.