東北大学 · 工学
Terada教授の研究室では、複雑な異種材料や複合材料の多スケール挙動を高精度に予測するための数値解析手法の開発を主眼としています。特に、均質化法や有限要素法を応用した多スケール解析、および物性の非線形性や損傷挙動を考慮した材料挙動の定式化が中心です。また、メッシュフリー法や物質点法を応用した数値的安定性の向上や境界条件の適切な取り扱いについても革新的なアプローチを展開しています。
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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
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