This paper is a further development of previous work [1] for the variation of matrix elastic energy caused by the inclusions, which only contains the displacements on the interface between inclusion and matrix. In add...
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This paper is a further development of previous work [1] for the variation of matrix elastic energy caused by the inclusions, which only contains the displacements on the interface between inclusion and matrix. In addition to the known benefits which are the same as [1], the current formula avoids assumptions of the same Poisson ratio from inclusion and matrix. Therefore, it is more general in studying the elastic energy changes of heterogeneous materials
Schooling of fish is one of the most common collective motions in nature. In the past decades, collective motions have been studied extensively based on various theories. In this work, the principle of least potential...
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Schooling of fish is one of the most common collective motions in nature. In the past decades, collective motions have been studied extensively based on various theories. In this work, the principle of least potential energy is incorporated into a cellular automaton algorithm to simulate the motion of fish schools. In the present model, it is assumed that the potential energy of a fish school consists of two parts, viz. Part-I induced by distance and Part-II determined by orientation. By minimizing the potential energy, several typical patterns of fish schooling can be obtained in the evolution process of cellular automaton. The rationality of the proposed method is verified by the comparison between the numerical modeling and the observation on red zebrafish.
The nonlinear Lamb waves are used to investigate the damage degree in thin plates based on the acoustic nonlinear parameter. The two methods, low frequency S mode method and one-way Lamb mixing method, are performed i...
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The nonlinear Lamb waves are used to investigate the damage degree in thin plates based on the acoustic nonlinear parameter. The two methods, low frequency S mode method and one-way Lamb mixing method, are performed in this paper. Based on low frequency S mode method, both numerical and experimental results show that second harmonics can be caused by quadratic material nonlinearity and randomly distributed micro-cracks. Meanwhile, when a pair of S and A mode Lamb waves satisfies the resonance condition of one-way case, a resonant A mode wave can be generated which is capable of locating the damage zone. And it is found that the acoustic nonlinear parameter increases linearly with quadratic nonlinearity and mixing zone's size.
This paper presents an ecient approach for robust topology design optimization(RTO) which is based on polynomial dimensional decomposition(PDD) method. The level-set functions are adopted to facilitate the topology ch...
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This paper presents an ecient approach for robust topology design optimization(RTO) which is based on polynomial dimensional decomposition(PDD) method. The level-set functions are adopted to facilitate the topology changes and shape variations. The topological derivatives of the functionals of robustness root in the concept of deterministic topological derivatives and dimensional decomposition of stochastic responses of multiple random inputs. The PDD for calculating robust topological derivatives consists of only a number of evaluations of the deterministic topological derivatives at the specied points in the stochastic space and provides eective and ecient design sensitivity analyses for RTO. The numerical examples demonstrate the eectiveness of the present method.
The large deformations of tapered beams subjected to different kinds of forces are investigated by using the finite integration method in this paper. The geometry of the beams is assumed to be any functions of the nat...
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The large deformations of tapered beams subjected to different kinds of forces are investigated by using the finite integration method in this paper. The geometry of the beams is assumed to be any functions of the natural coordinate. The nonlinear ordinary differential equation is numerically solved by using the finite integration method with iterative technique. The numerical scheme demonstrates that this direct integration scheme is of high accuracy and excellent convergence.
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