M
Masato Tanaka
Researcher at Toyota
Publications - 32
Citations - 215
Masato Tanaka is an academic researcher from Toyota. The author has contributed to research in topics: Tangent & Finite element method. The author has an hindex of 7, co-authored 28 publications receiving 167 citations. Previous affiliations of Masato Tanaka include Keio University.
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Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis
TL;DR: An extremely robust and efficient numerical approximation of material and spatial tangent moduli at finite strains is presented that can be easily implemented within standard FEM software based on the complex-step derivative approximation approach.
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A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers
TL;DR: In this article, the authors proposed a hyper-dual step derivative (HDSD) method for the calculation of stresses and corresponding consistent tangent moduli for hyperelastic material models, which are derived in terms of the first and second derivatives of a strain energy function.
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Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices
TL;DR: In this article, a robust approximation scheme for the numerical calculation of tangent stiffness matrices is presented in the context of nonlinear thermo-mechanical finite element problems and its performance is analyzed.
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Implementation of incremental variational formulations based on the numerical calculation of derivatives using hyper dual numbers
TL;DR: In this paper, the authors propose an implementation scheme for the automatic calculation of internal variables, stresses and consistent tangent moduli for incremental variational formulations (IVFs) describing inelastic material behavior.
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Computational two-mode asymptotic bifurcation theory combined with hyper dual numbers and applied to plate/shell buckling
TL;DR: In this paper, a two-mode asymptotic bifurcation theory was proposed to solve structural stability problems of plates and shells, which is implemented in engineering practice to algebraically identify snap-through and path-branching in stability problems.