The Proceedings of The Computational Mechanics Conference

The hypoelastic-based plasticity as well as the infinitesimal hyperelastic-based plasticity is adopted most widely to the elastoplastic deformation analyses of solids and structures at present. However, the additive decompositions of the strain rate and the continuum spin into elastic and plastic parts have been adopted a priori in the hypoelastic-based plasticity. The physical back ground for these additive decompositions will be elucidated in this article.

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This paper presents a non-parametric shape optimization method for a solid structure under cyclic elasto-plastic loading. A distributed-parameter optimization problem for cyclic deformation considering material non-linearity and geometrical non-linearity is formulated, in which the plastic work is maximized under a volume constraint, and the shape gradient function and the optimality conditions for this problem are theoretically derived using the adjoint variable method. The adjoint analysis is thinned out under the assumption that the piecewise proportional loading holds true in spite of the plastic deformation. The shape gradient function derived is applied to the H1 gradient method to obtain the optimal three-dimensional shape, where the negative shape gradient function is used to move the design domain. The objective functional, the plastic work equivalent to the energy dissipation capacity, is maximized in the iterative process while maintaining the mesh regularity without re-meshing. This method is applied to design a shear panel damper (SPD) with high energy dissipation capacity which is made of low yield steel and can dissipate seismic energy by plastic deformation. The calculated results show the validity of this method for efficient designing a non-linear structure for cyclic elasto-plastic loading efficiently.

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In this study, a semi-implicit time integration algorithm of surface tension effects for incompressible flows is proposed. Moreover, comparing its performance with the existing explicit discretization method demonstrates a significant improvement of stability.

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This paper discusses the uncertainty quantification of Multi-Agent based Traffic and Environment Simulator, MATES. We conducted a series of traffic simulations in Okayama City and evaluated the uncertainty of the results obtained from these simulations in terms of the number of passing vehicles on various intersections by using the mean values, standard deviations and also probability density functions. Our study reveals that the traffic jam has great influence on the shape of probability density functions of the number of passing vehicles, and also contributes to the reliability assurance of traffic simulations.

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