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MathematicsOver the last two decades, meshfree Galerkin methods have become increasingly popular in solid and fluid mechanics applications. A variety of these methods have been developed, each incorporating unique meshfree approximation schemes to enhance their ...
Hongtao Yang, Hao Wang, Bo Li
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Meshless physics‐informed deep learning method for three‐dimensional solid mechanics [PDF]
International Journal for Numerical Methods in Engineering, 2020 Deep learning (DL) and the collocation method are merged and used to solve partial differential equations (PDEs) describing structures' deformation. We have considered different types of materials: linear elasticity, hyperelasticity (neo‐Hookean) with ...
D. Abueidda, Q. Lu, S. Koric
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Topology Optimization for Electromagnetics: A Survey
IEEE Access, 2022 The development of technologies for the additive manufacturing, in particular of metallic materials, is offering the possibility of producing parts with complex geometries.
Francesco Lucchini +4 more
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Mathematics in Finite Element Modeling of Computational Friction Contact Mechanics 2021–2022
Mathematics, 2023 In engineering practice, structures with identical components or parts are useful from several points of view: less information is needed to describe the system; designs can be conceptualized quicker and easier; components are made faster than during ...
Nicolae Pop, Marin Marin, Sorin Vlase
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Nonlinear Engineering, 2022 Geometrically nonlinear analysis is required for resolving issues such as loading causes failure and structure buckling analysis. Although numerical methods are recommended for estimating the exact solution, they lack the necessary convergence in the ...
Ahmad Razaghi +2 more
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Element differential method for poroelastic problems
Yantu gongcheng xuebao, 2023 A numerical model for solving the coupling problem of fluid flow and solid mechanics in porous media is established based on the Biot's consolidation theory, and the numerical analysis and calculation are carried out by using a new strong-form finite ...
HU Kai1 , GAO Xiaowei 1, XU Bingbing 1, ZHENG Yingren 2
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Solving the Problem of Elasticity for a Layer with N Cylindrical Embedded Supports
Computation, 2023 The main goal of deformable solid mechanics is to determine the stress–strain state of parts, structural elements, and their connections. The most accurate results of calculations of this state allow us to optimize design objects. However, not all models
Vitaly Miroshnikov +3 more
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Overview of advanced numerical methods classified by operation dimensions
Aerospace Research Communications, 2023 In this article, the progress of frequently used advanced numerical methods is presented. According to the discretisation manner and manipulation dimensionality, these methods can be classified into four categories: volume-, surface-, line-, and point ...
Xiaowei Gao +6 more
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A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
Archives of Computational Methods in Engineering, 2020 In this contribution we provide benchmark problems in the field of computational solid mechanics. In detail, we address classical fields as elasticity, incompressibility, material interfaces, thin structures and plasticity at finite deformations.
J. Schröder +24 more
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Investigating the hydrostatic and hydrodynamic behaviour of large size butterfly valves using experimental and numerical methods [PDF]
مجله مدل سازی در مهندسی, 2015 In this paper, c. For this purpose, stress distribution and deformation of the major parts of the valve and also, the hydrodynamic torque, which is applied to the valve-disk, have been calculated at different opening angles of the disk.
Aziz Shokuhi +3 more
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