Dr. Anton Trofimov
Research Scientist

Center for Design, Manufacturing and Materials Skolkovo Institute of Science and Technology Skolkovo Innovation Center

June 21, 2017
11.00 – 12.00
Room 403


Many composite materials contain inhomogeneities of irregular shapes for which no analytical solutions exist. This presentation will be focused on effective properties of composites with irregularly shaped pores, polyhedral inhomogeneities and penny-shaped cracks with “islands” of partial contact. The problem of homogenization is solved using direct finite element analysis of periodic representative volume elements and using non-interaction, Mori-Tanaka and Maxwell micromechanical schemes. A novel efficient numerical procedure to generate and analyze RVEs with non-ellipsoidal inhomogeneities with volume fraction up to 30% will be presented. The applicability of the replacement relation that interrelates stiffness contribution tensors of inhomogeneities having the same shape but different elastic properties to the considered shapes will be discussed. In addition, analytical solutions for compliance and resistivity tensors of penny-shaped cracks with islands of partial contact will be presented. For the cases of materials with multiple cracks, an approach to calculation of the adjusted crack density parameter will be addressed. With this parameter, all available schemes for the effective elastic properties of cracked solids as functions of crack density can be applied to penny-shaped cracks with islands.


Dr. Trofimov received his Master’s degree with honors in Applied Physics from Peter the Great St. Petersburg Polytechnic University in 2013, with focus in strength and plasticity of materials. Dr. Trofimov received his PhD degree in Mechanical Engineering from New Mexico State University in May 2017. He was working as a research assistant at NMSU on several projects that include multiscale modeling of porous and composite structures, material characterization and experimental validation of numerical results. Dr. Trofimov has joined CDMM group as a Research Scientist and will be working in the area of computational mechanics of composites supporting his calculations with experiments.