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In dealing with fracture and fatigue assessments of structural components, different approaches have been proposed in the literature. They are usually divided into three subgroups according to stress-based, strain-based, and energy-based criteria. Typical applications include both linear elastic and elastoplastic materials and plain and notched or cracked components under both static and fatigue loadings. The aim of this Special Issue is to provide an update to the state-of-the-art on these approaches. The topics addressed in this Special Issue are applications from nano- to full-scale complex and real structures and recent advanced criteria for fracture and fatigue predictions under complex loading conditions, such as multiaxial constant and variable amplitude fatigue loadings.

History of engineering & technology --- fatigue life prediction --- dissipated energy --- thermo-graphic technique --- thermal evolution --- peridynamics --- composite --- ordinary state-based --- double cantilever composite beam (DCB) --- delamination --- control volume concept --- critical plane approach --- fatigue life assessment --- severely notched specimens --- strain energy density --- monitoring of fatigue crack --- damage index --- ultrasonic guided waves --- sensor network --- structural health monitoring --- thermal fatigue --- thermal barrier coat --- master–slave model --- life prediction --- nozzle guide vane --- microcracks --- multiple fatigue crack --- crack coalescence --- concrete beams --- damage evolution --- multiscale --- fatigue damage evolution --- ABAQUS subroutine --- 3D reconstruction --- MCT scanning --- fatigue life --- cleat filler --- broken coal seam --- wellbore stability --- analytical model --- affecting factors --- fatigue crack --- welded bogie frame --- wheel polygon --- rail corrugation --- running speed --- finite fracture mechanics --- nanoscale --- silicon --- brittle --- notch --- fracture --- nanodevice --- life assessment --- crack initiation --- crack propagation --- finite element method --- scroll compressor --- fatigue --- crack --- metal --- structure --- welded joint --- FEM

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• Reference Manager
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In dealing with fracture and fatigue assessments of structural components, different approaches have been proposed in the literature. They are usually divided into three subgroups according to stress-based, strain-based, and energy-based criteria. Typical applications include both linear elastic and elastoplastic materials and plain and notched or cracked components under both static and fatigue loadings. The aim of this Special Issue is to provide an update to the state-of-the-art on these approaches. The topics addressed in this Special Issue are applications from nano- to full-scale complex and real structures and recent advanced criteria for fracture and fatigue predictions under complex loading conditions, such as multiaxial constant and variable amplitude fatigue loadings.

fatigue life prediction --- dissipated energy --- thermo-graphic technique --- thermal evolution --- peridynamics --- composite --- ordinary state-based --- double cantilever composite beam (DCB) --- delamination --- control volume concept --- critical plane approach --- fatigue life assessment --- severely notched specimens --- strain energy density --- monitoring of fatigue crack --- damage index --- ultrasonic guided waves --- sensor network --- structural health monitoring --- thermal fatigue --- thermal barrier coat --- master–slave model --- life prediction --- nozzle guide vane --- microcracks --- multiple fatigue crack --- crack coalescence --- concrete beams --- damage evolution --- multiscale --- fatigue damage evolution --- ABAQUS subroutine --- 3D reconstruction --- MCT scanning --- fatigue life --- cleat filler --- broken coal seam --- wellbore stability --- analytical model --- affecting factors --- fatigue crack --- welded bogie frame --- wheel polygon --- rail corrugation --- running speed --- finite fracture mechanics --- nanoscale --- silicon --- brittle --- notch --- fracture --- nanodevice --- life assessment --- crack initiation --- crack propagation --- finite element method --- scroll compressor --- fatigue --- crack --- metal --- structure --- welded joint --- FEM

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The present book contains 14 articles that were accepted for publication in the Special Issue “Numerical Computation, Data Analysis and Software in Mathematics and Engineering” of the MDPI journal Mathematics. The topics of these articles include the aspects of the meshless method, numerical simulation, mathematical models, deep learning and data analysis. Meshless methods, such as the improved element-free Galerkin method, the dimension-splitting, interpolating, moving, least-squares method, the dimension-splitting, generalized, interpolating, element-free Galerkin method and the improved interpolating, complex variable, element-free Galerkin method, are presented. Some complicated problems, such as tge cold roll-forming process, ceramsite compound insulation block, crack propagation and heavy-haul railway tunnel with defects, are numerically analyzed. Mathematical models, such as the lattice hydrodynamic model, extended car-following model and smart helmet-based PLS-BPNN error compensation model, are proposed. The use of the deep learning approach to predict the mechanical properties of single-network hydrogel is presented, and data analysis for land leasing is discussed. This book will be interesting and useful for those working in the meshless method, numerical simulation, mathematical model, deep learning and data analysis fields.

Information technology industries --- cold-roll forming --- longitudinal strain --- cubic spline function --- cumulative chord --- elastic–plastic problem --- complex variable meshless method --- interpolating shape function --- singular weight function --- complete basis function --- mathematical model --- leased price --- total leased area --- data analysis --- residential land --- Beijing --- meshless method --- dimension splitting–interpolating moving least squares (DS-IMLS) method --- improved interpolating element-free Galerkin (IEFG) method --- potential problem --- traffic flow --- two-dimensional lattice hydrodynamic model --- driver’s predictive effect --- finite element method --- alkali-activated slag ceramsite compound insulation block --- ANSYS CFX --- thermal and mechanical performances --- indoor thermal environment --- dimension splitting method --- dimension splitting generalized interpolating element-free Galerkin method --- convection–diffusion–reaction problem --- deep learning --- hydrogel network --- mechanical property --- convolutional neural network --- self-avoiding walk --- personnel health monitoring --- construction site management --- smart helmet --- infrared temperature measurement --- temperature error compensation --- BP neural network --- COVID-19 --- peridynamics --- dual-horizon --- crack propagation --- variable horizon --- multi-grid --- car-following model --- visual angle model --- electronic throttle angle --- stability analysis --- heavy haul --- railway tunnel --- basement structure --- dynamic response characteristics --- defects --- the lattice hydrodynamic model --- control signal --- strong wind --- optimal estimation of flux difference integral --- improved element-free Galerkin method --- Helmholtz equation --- penalty method --- improved moving least-squares approximation --- n/a --- elastic-plastic problem --- dimension splitting-interpolating moving least squares (DS-IMLS) method --- driver's predictive effect --- convection-diffusion-reaction problem

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The present book contains 14 articles that were accepted for publication in the Special Issue “Numerical Computation, Data Analysis and Software in Mathematics and Engineering” of the MDPI journal Mathematics. The topics of these articles include the aspects of the meshless method, numerical simulation, mathematical models, deep learning and data analysis. Meshless methods, such as the improved element-free Galerkin method, the dimension-splitting, interpolating, moving, least-squares method, the dimension-splitting, generalized, interpolating, element-free Galerkin method and the improved interpolating, complex variable, element-free Galerkin method, are presented. Some complicated problems, such as tge cold roll-forming process, ceramsite compound insulation block, crack propagation and heavy-haul railway tunnel with defects, are numerically analyzed. Mathematical models, such as the lattice hydrodynamic model, extended car-following model and smart helmet-based PLS-BPNN error compensation model, are proposed. The use of the deep learning approach to predict the mechanical properties of single-network hydrogel is presented, and data analysis for land leasing is discussed. This book will be interesting and useful for those working in the meshless method, numerical simulation, mathematical model, deep learning and data analysis fields.

cold-roll forming --- longitudinal strain --- cubic spline function --- cumulative chord --- elastic–plastic problem --- complex variable meshless method --- interpolating shape function --- singular weight function --- complete basis function --- mathematical model --- leased price --- total leased area --- data analysis --- residential land --- Beijing --- meshless method --- dimension splitting–interpolating moving least squares (DS-IMLS) method --- improved interpolating element-free Galerkin (IEFG) method --- potential problem --- traffic flow --- two-dimensional lattice hydrodynamic model --- driver’s predictive effect --- finite element method --- alkali-activated slag ceramsite compound insulation block --- ANSYS CFX --- thermal and mechanical performances --- indoor thermal environment --- dimension splitting method --- dimension splitting generalized interpolating element-free Galerkin method --- convection–diffusion–reaction problem --- deep learning --- hydrogel network --- mechanical property --- convolutional neural network --- self-avoiding walk --- personnel health monitoring --- construction site management --- smart helmet --- infrared temperature measurement --- temperature error compensation --- BP neural network --- COVID-19 --- peridynamics --- dual-horizon --- crack propagation --- variable horizon --- multi-grid --- car-following model --- visual angle model --- electronic throttle angle --- stability analysis --- heavy haul --- railway tunnel --- basement structure --- dynamic response characteristics --- defects --- the lattice hydrodynamic model --- control signal --- strong wind --- optimal estimation of flux difference integral --- improved element-free Galerkin method --- Helmholtz equation --- penalty method --- improved moving least-squares approximation --- n/a --- elastic-plastic problem --- dimension splitting-interpolating moving least squares (DS-IMLS) method --- driver's predictive effect --- convection-diffusion-reaction problem