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Experimental investigation on the cracking behavior of 3D printed kinked fissure

Science China(Technological Sciences) 2018年第12期61卷 1872-1881页

作者： MA GuoWei DONG QianQian WANG Li College of Architecture and Civil Engineering Beijing University of Technology School of Civil and Transportation Engineering Hebei University of Technology

Uniaxial compression tests were carried out for 3 D printed samples having various types of kinked fissures by using the rock mechanics servo-controlled testing system. Photo-elastic technique is adopted to characterize and visualize the stress distribution and evolution of 3 D printed models subjected to vertical compression. The stress field in the loading process can clearly be captured via a high-speed camera. The results showed that fringes around the kinked fissure tips formed a central symmetrical interference fringe pattern, and failure firstly occurred at interference fringe of highest order. Two failure types i.e. tip-cracking and non-tip-cracking are categorized on the basis of crack propagation pattern of 3 D printed samples. Tensile crack propagation of wing cracks is the main form of failure of the antisymmetric kinked fissures, but the inclination of the branch fissures also played a key role on the location of initial fracture. The finite element method was applied to numerically simulate the process of crack propagation. The isochromatic fringe patterns are in good agreement with the experimental investigation. The current work gives an insight for implication of advanced technique to quantify and visualize the distribution of stress field, and provides further understanding of kinked fissure behavior at failure.

关键词： kinked fissure 3D printing cracking behavior stress field non-tip-cracking photo-elasticity

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Goodwin Accelerator Model Revisited with Piecewise Linear Delay Investment

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Advances in Pure Mathematics 2018年第2期8卷 178-217页

作者： Akio Matsumoto Keiko Nakayama Ferenc Szidarovszky Department of Economics International Center for Further Development of Dynamic Economic Research Chuo University Hachioji Japan Department of Economics Chukyo University Nagoya Japan Department of Applied Mathematics University of Pécs Pécs Hungary

It is well-known that Goodwin’s nonlinear delay accelerator model can generate diverse oscillations (i.e., smooth and sawtooth oscillations). It is, however, less-known what conditions are needed for these dynamics to emerge. In this study, using a piecewise linear investment function, we solve the governing delay differential equation and obtain the explicit forms of the time trajectories. In doing so, we detect conditions for persistent oscillations and also conditions for the birth of such cyclic dynamics.

关键词： Nonlinear Accelerator Investment Delay Successive Integration Smooth and kinked Solutions Numerical Analysis

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