Modeling And Numerical Simulation To The Combinational Sphere Element Of The Particulate Composite

Particle composites are materials composed of matrix material and particle material,which induce new properties.The two materials with different properties supplement each other make composites have a lot of excellent properties and are used extensively in different domain.In this paper,the mechanical properties of cemented particle composites are analyzed by using cemented glass beads and epoxy resin as an example.For the cemented composite materials,a six-degree of freedom numerical model in space is established.Based on the combinational sphere element theory,the torsional stiffness is deduced.Then the element stiffness matrix of the space combinational sphere element is constructed by the finite element theory.In order to closely reflect the mechanical properties of viscoelastic materials,the rigid frame-spring-damper gird Lattice model is set up in space and a method which can calculate the spring coefficients and damping coefficients of the model is provided.As an example,the numerical simulation to the particle composite composed of glass beads and epoxy resin is carried out and the stiffnesses and loss factors are obtained.According to the load-displacement curves,the effects of particle radius on the material energy dissipation capacity are put forward.Applying the dynamic equation of viscoelastic composite structure in time domain to calculate the dynamics of the combinational sphere element structure.Combining the test results with the finite element simulation calculations,the appropriate constitutive model is selected to reflect mechanical properties of the structure.Then the parameters in the model are estimated and the constitutive relation of the matrix material is obtained.Considering a combinational sphere element as an elastic-viscoelastic composite structure,the extended dynamic equation is established and solved.At zero initial conditions,the dynamic response is obtained using the Runge-Kutta method.Comparison analysis between the numerical calculation and the ANSYS simulation.