Homogenization and up-scaling strategy for the mechanical analysis of materials: masonry, ultra-soft standard materials, and metamaterials

No dia 3 de junho, o Professor Luís Carlos Silva irá lecionar no DEC uma aula aberta sobre análise mecânica de materiais.

A Rigid-Body-Spring-Model (RBSM) is presented for the mechanical analysis of materials. The fundamental unit cell is based on a heuristic molecular approach composed of shaped atoms that interact through spring-based bonds. To describe the desired macroscopic response, the relationship with different continuum materials is provided, ranging from a standard isotropic Cauchy solid to an isotropic Cosserat solid.

Evidence of the model potential as a calculation tool is demonstrated in three main applications: (1) Conducting a first-order homogenization and upscaling such data to the RBSM for studying the elastic and inelastic in-plane and out-of-plane mechanical response of masonry structures. Examples include both strain-rate independent and dependent problems. (2) Studying the in-plane elastic response of standard and auxetic materials subjected to a non-homogeneous deformation field, as well as the response of auxetic foams under large deformations. (3) Exploring the model for the design of micro-structured materials for additive manufacturing. Two design examples are presented, i.e., an auxetic metamaterial (v=-1.0) and a standard material (v=0.2) with an ultra-soft macro-behaviour (G=5.0 MPa), despite the use of a single printing material.