In this paper we study an elastic-plastic isotropic body weakened by a rectilinear crack, directed along the abscissa axis, under the action of stresses symmetrical about its plane. An approximate (analytical and nume...
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ISBN:
(数字)9781728171807
ISBN:
(纸本)9781728171814
In this paper we study an elastic-plastic isotropic body weakened by a rectilinear crack, directed along the abscissa axis, under the action of stresses symmetrical about its plane. An approximate (analytical and numerical) solution of this problem is constructed under the condition that the hydrostatic deformation of the split expansion is approximated by a parabola. The concentration of hydrogen near the top of the crack is calculated. Note that when using the above calculation formulas, at each node we get several approximations to the exact solution. In the proposed methods, only three appeals to the right-hand side of the differential equation are necessary to obtain both the third order accuracy method and the two approximations (upper and lower) of the second order of accuracy.
MSC Codes 18M35, 18D30, 18M05, 03G30, 03B38Categories of lenses/optics and Dialectica categories are both comprised of bidirectional morphisms of basically the same form. In this work, we show how they can be consider...
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We analyze smooth nonlinear mappings for Hilbert and Banach spaces that carry small balls to convex sets, provided that the radius of the balls is small enough. Being focused on the study of new and mild sufficient co...
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Cloud computing focuses on scalability, elasticity, and cost-efficiency of the service. In this context, shifting towards the concept of 'algorithm as a service' is a contemporary issue. The three main drivers...
Cloud computing focuses on scalability, elasticity, and cost-efficiency of the service. In this context, shifting towards the concept of 'algorithm as a service' is a contemporary issue. The three main drivers of it includes, machine learning, artificial intelligence, and Digital Earth. The following assumption was made throughout the article, that algorithm as a service is endowed with a key property of fractal, which provides the corresponding scalability and elasticity. The article focuses on the design of elastic algorithms based on Container-component simulation model. The model has fractal property. The application of the model to design gradient ascent algorithm as a service is presented.
The aim of this article is to provide a methodology useful for designing and controlling elastic computing self-organizing for artificial intelligence space exploration. The artificial intelligence application itself ...
The aim of this article is to provide a methodology useful for designing and controlling elastic computing self-organizing for artificial intelligence space exploration. The artificial intelligence application itself should be elastic and distributed in the context of limited information technologies resources in space. The most important use of elastic computing is artificial intelligence's ability to continually learn and adapt to evolving environments and goals. The conceptual framework uses elastic infrastructure model and the terminology of graph dynamical systems to be able to capture a broad variety of processes taking place on self-organizing networks. The methodology's uniqueness lies in the theory of graph dynamical systems used to explain the self-organizing processes life cycle.
Contemporary simulation technology for neuronal networks enables the simulation of brain-scale networks using neuron models with a single or a few compartments. However, distributed simulations at full cell density ar...
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