Tohoku University · Engineering
Professor Kenjiro Terada's research lab specializes in multiscale modeling and numerical analysis of heterogeneous materials, with a focus on advanced computational mechanics for composite and functionally graded materials. The lab develops innovative numerical methods—such as the finite cover method, extended B-splines, and homogenization-based topology optimization—to accurately simulate micro–macro mechanical behavior under complex loading, including elastoplasticity, damage, and finite deformation. Key research directions include the development of stable and reliable computational frameworks for multi-scale analysis, particularly in the context of fiber-reinforced plastics and heterogeneous solids with complex microstructures.
Figures are computed from collected data and may differ slightly.
Abstract In this paper, we propose a checkerboard‐free topology optimization method without introducing any additional constraint parameter. This aim is accomplished by the introduction of finite element approximation for continuous material distribution in a fixed design domain. That is, the continuous distribution of microstructures, or equivalently design variables, is realized in the whole design domain in the context of the homogenization design method (HDM), by the discretization with fini
Abstract We introduce the finite cover method (FCM) as a generalization of the finite element method (FEM) and extend it to analyse the linear and non‐linear mechanical behaviour of heterogeneous solids and structures. The name ‘FCM’ is actually an alias for the manifold method (MM) and the basic idea of the method has already been established for linear analyses of structures with homogeneous materials. After reviewing the concept of physical and mathematical covers for approximating functions
Abstract The homogenization method applied to nonlinear problems is discussed from practical point view. The conventional procedure of the asymptotic homogenization method for linear elasticity problems is directly extended to nonlinear problems by using rate formulation of the updated Lagrangian scheme. Analysis is made for a composite material whose constituents reveal elastoplasticity character as well as finite deformation in which a local periodicity can be assumed. The updating scheme also
Open papers in the app to read, cite, and organize with AI.
