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The aim of the present work is to describe the deformation and fracture behavior of single crystal tungsten at the microscopic scale by using the ?nite element method. Therefore, the studies focus mainly on the in?uence of crystal orientation as well as the investigation of crack initiation and crack propagation. With a defined crack propagation model, the simulations of microbending allows for evaluating the details of the fracture process more accurately and supported the experimental studies.
Microcracking --- Finite elements --- Crystal plasticity --- Wolframeinkristall --- KristallplastizitätSingle Crystal Tungsten --- Bruchzähigkeit --- Finite Elemente --- Mikrorißbildung --- Fracture toughness
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Computer assisted surgery systems intraoperatively support the surgeon by providing information on the location of hidden risk and target structures during surgery. However, soft tissue deformations make intraoperative registration (and thus intraoperative navigation) difficult. In this work, a novel, biomechanics based approach for real-time soft tissue registration from sparse intraoperative sensor data such as stereo endoscopic images is presented to overcome this problem.
real-time finite elements --- soft tissue modeling --- echtzeitfähige finite Elemente --- intraoperative Navigation --- registration --- Registrierung --- intraoperative navigation --- GPU --- Weichgewebemodellierung --- GPU computing
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The book deals with novel aspects and perspectives in functionally graded materials (FGMs), which are advanced engineering materials designed for a specific performance or function with spatial gradation in structure and/or composition. The contributions mainly focus on numerical simulations of mechanical properties and the behavior of FGMs and FGM structures. Several advancements in numerical simulations that are particularly useful for investigations on FGMs have been proposed and demonstrated in this Special Issue. Such proposed approaches provide incisive methods to explore and predict the mechanical and structural characteristics of FGMs subjected to thermoelectromechanical loadings under various boundary and environmental conditions. The contributions have resulted in enhanced activity regarding the prediction of FGM properties and global structural responses, which are of great importance when considering the potential applications of FGM structures. Furthermore, the presented scientific scope is, in some way, an answer to the continuous demand for FGM structures, and opens new perspectives for their practical use.
power-law distribution --- evanescent wave --- flow theory of plasticity --- free vibration characteristics --- neural networks --- geometrically nonlinear analysis --- finite element method --- stress concentration factor --- inhomogeneous composite materials --- circular plate --- porous materials --- minimum module approximation method --- ANFIS --- electroelastic solution --- functionally graded piezoelectric materials --- Love wave --- polynomial approach --- stepped FG paraboloidal shell --- material design --- damping coefficient --- spring stiffness technique --- Lamb wave --- pure bending --- general edge conditions --- residual stress --- graded finite elements --- large strain --- non-linear buckling analysis --- orthogonal stiffener --- combined mechanical loads --- functionally graded piezoelectric-piezomagnetic material --- functionally graded beams --- attenuation --- failure and damage --- analytical solution --- functionally graded materials --- elastoplastic analysis --- elastic foundation --- hollow disc --- different moduli in tension and compression --- external pressure --- functional graded saturated material --- bimodulus --- fuzzy logic --- truncated conical sandwich shell --- quadratic solid–shell elements --- functionally graded viscoelastic material --- finite element analysis --- residual strain --- neutral layer --- elliptical hole --- thin structures --- functionally graded plate --- inhomogeneity --- clustering --- metal foam core layer --- robotics and contact wear --- dispersion --- high order shear deformation theory --- finite elements
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This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.
Mathematics. --- Functional analysis. --- Operator theory. --- Partial differential equations. --- Algorithms. --- Mathematical models. --- Mathematical optimization. --- Functional Analysis. --- Mathematical Modeling and Industrial Mathematics. --- Optimization. --- Operator Theory. --- Partial Differential Equations. --- Differential equations, partial. --- Partial differential equations --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Algorism --- Algebra --- Arithmetic --- Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Foundations --- Funktionalanalysis. --- Boundary element methods. --- Finite Elements Methods. --- Models, Mathematical
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Advances in materials are crucial to the development of sports equipment, from tennis rackets to skis to running shoes. Materials-driven improvements in equipment have helped athletes perform better, while enhancing safety and making sport more accessible and enjoyable. This book brings together a collection of 10 papers on the topic of sports materials, as published in a Special Issue of Applied Sciences. The papers within this book cover a range of sports, including golf, tennis, table tennis and baseball. State-of-the-art engineering techniques, such as finite element modelling, impact testing and full-field strain measurement, are applied to help further our understanding of sports equipment mechanics and the role of materials, with a view to improving performance, enhancing safety and facilitating informed regulatory decision making. The book also includes papers that describe emerging and novel materials, including auxetic materials with their negative Poisson’s ratio (fattening when stretched) and knits made of bamboo charcoal. This collection of papers should serve as a useful resource for sports engineers working in both academia and industry, as well as engineering students who are interested in sports equipment and materials.
n/a --- foam --- finite element --- sportswear textiles --- cannon --- textiles --- impact attenuation --- shockpad --- foam protective mats --- robot --- additive manufacturing --- indentation --- bat --- rubber --- slope of grain --- wood --- injury --- strain --- impact --- durability --- protective equipment --- mechanical properties --- artificial turf --- strain propagation --- auxetic foam --- sports safety --- torsion --- quick-dry yarn --- concussion --- baseball --- finite element modelling --- polymer --- strain rate --- Charpy --- protection --- rate dependence --- functional composite yarns --- impact testing --- golf --- helmet --- architecture --- auxetic --- clubhead --- digital image correlation --- finite element analysis --- tennis --- comfort --- negative Poisson’s ratio --- friction --- bamboo charcoal yarn --- EFG method --- sport --- finite elements --- shaft
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Mathematical models of various natural processes are described by differential equations, systems of partial differential equations and integral equations. In most cases, the exact solution to such problems cannot be determined; therefore, one has to use grid methods to calculate an approximate solution using high-performance computing systems. These methods include the finite element method, the finite difference method, the finite volume method and combined methods. In this Special Issue, we bring to your attention works on theoretical studies of grid methods for approximation, stability and convergence, as well as the results of numerical experiments confirming the effectiveness of the developed methods. Of particular interest are new methods for solving boundary value problems with singularities, the complex geometry of the domain boundary and nonlinear equations. A part of the articles is devoted to the analysis of numerical methods developed for calculating mathematical models in various fields of applied science and engineering applications. As a rule, the ideas of symmetry are present in the design schemes and make the process harmonious and efficient.
high-order methods --- Brinkman penalization --- discontinuous Galerkin methods --- embedded geometry --- high-order boundary --- IMEX Runge–Kutta methods --- boundary value problems with degeneration of the solution on entire boundary of the domain --- the method of finite elements --- special graded mesh --- multigrid methods --- Hermitian/skew-Hermitian splitting method --- skew-Hermitian triangular splitting method --- strongly non-Hermitian matrix --- lie symmetries --- invariantized difference scheme --- numerical solutions --- finite integration method --- shifted Chebyshev polynomial --- direct and inverse problems --- Volterra integro-differential equation --- Tikhonov regularization method --- quartic spline --- triangulation --- scattered data --- continuity --- surface reconstruction --- positivity-preserving --- interpolation --- jaw crusher --- symmetrical laser cladding path --- FEPG --- wear
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Expansion of water resources is a key factor in the socio-economic development of all countries. Dams play a critical role in water storage, especially for areas with unequal rainfall and limited water availability. While the safety of existing dams, periodic re-evaluations and life extensions are the primary objectives in developed countries, the design and construction of new dams are the main concerns in developing countries. The role of dam engineers has greatly changed over recent decades. Thanks to new technologies, the surveillance, monitoring, design and analysis tasks involved in this process have significantly improved. The current edited book is a collection of dam-related papers. The overall aim of this edited book is to improve modeling, simulation and field measurements for different dam types (i.e. concrete gravity dams, concrete arch dams, and embankments). The articles cover a wide range of topics on the subject of dams, and reflect the scientific efforts and engineering approaches in this challenging and exciting research field.
arch dams --- probabilistic --- nonlinear --- seismic --- response correlation --- stochastic --- excavation --- movement --- field --- groundwater --- soil nail --- spatial --- variability --- alkali-silica reaction --- damage --- existing concrete dam --- finite element analysis --- temperature --- saturation degree --- dams --- endurance time analysis --- dynamic capacity --- failure --- seismic effects --- dam safety --- concrete dams --- structural safety and reliability --- finite elements --- earthfill dam --- central clay core --- downstream shoulder --- settlements --- long-term behaviour --- reservoir level fluctuations --- rainfall --- seepage --- geodetic monitoring --- concrete arch dams --- seasonal temperature variations --- crack prediction --- non-linear finite element analyses --- concrete gravity dams --- seismic fragility analysis --- uncertainty quantification --- performance based earthquake engineering --- stability assessment --- instrumentation --- earth dam --- health monitoring --- passive rock bolt --- concrete dam --- progressive failure --- n/a
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Modern engineering practice requires advanced numerical modeling because, among other things, it reduces the costs associated with prototyping or predicting the occurrence of potentially dangerous situations during operation in certain defined conditions. Thus far, different methods have been used to implement the real structure into the numerical version. The most popular uses have been variations of the finite element method (FEM). The aim of this Special Issue has been to familiarize the reader with the latest applications of the FEM for the modeling and analysis of diverse mechanical problems. Authors are encouraged to provide a concise description of the specific application or a potential application of the Special Issue.
numerical modeling --- finite volumne method --- underground coal mine --- endogenous fires --- spontaneous combustion --- longwall --- ventilation system --- shot peening --- quantitative description of peening coverage --- high peening coverage --- Almen intensity --- residual compressive stress --- hybrid composite --- damage --- aramid fiber --- carbon fiber --- finite element method --- delamination --- cut bar method --- thermal conductivity --- steady-state --- heat lakes --- finite element modeling --- aluminum conductor steel-reinforced cable --- bend deformation --- stress --- friction coefficient --- wind loads --- fatigue fracture --- FEM --- SFEM --- active periodic structures --- smart materials --- PCHE --- misalignment --- channel --- utilization factor --- torsion springs --- FEA --- NURBS --- applied load --- local behaviors --- drill pipe joint --- design --- sealing properties --- experiment --- bias tire --- textile cord --- shrinkage --- rubber --- inflation analysis --- nondestructive inspection --- crack detection --- low loading --- surface profile --- turbine blade --- finite element analysis --- swingarm --- single-sided --- Finite Elements Analysis (FEA) --- three-wheel motorcycle --- topology optimization --- collision modeling --- mechanical parameters --- contact detection --- web deformation --- strain deviation --- design of experiment --- roll-to-roll process --- solid mechanics --- finite elements --- hp-adaptivity --- numerical locking --- detection --- assessment --- resolution --- equilibrated residual method --- sensitivity analysis --- p-enrichment --- bell crank --- natural frequency --- reverse engineering --- vibrometer --- Abaqus --- numerical simulation --- biomechanics --- head injury --- safety --- injury criteria --- disability --- driver --- HALE UAV --- generative modelling --- thin-layer composite structure --- electro-mechanical systems --- piezoelectrics --- hierarchical models --- first-order models --- transition models --- hpq/hp-approximations --- adaptivity --- stress gradients --- convergence --- damage detection
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The problem of solving complex engineering problems has always been a major topic in all industrial fields, such as aerospace, civil and mechanical engineering. The use of numerical methods has increased exponentially in the last few years, due to modern computers in the field of structural mechanics. Moreover, a wide range of numerical methods have been presented in the literature for solving such problems. Structural mechanics problems are dealt with using partial differential systems of equations that might be solved by following the two main classes of methods: Domain-decomposition methods or the so-called finite element methods and mesh-free methods where no decomposition is carried out. Both methodologies discretize a partial differential system into a set of algebraic equations that can be easily solved by computer implementation. The aim of the present Special Issue is to present a collection of recent works on these themes and a comparison of the novel advancements of both worlds in structural mechanics applications.
direction field --- tensor line --- principal stress --- tailored fiber placement --- heat conduction --- finite elements --- space-time --- elastodynamics --- mesh adaptation --- non-circular deep tunnel --- complex variables --- conformal mapping --- elasticity --- numerical simulation --- numerical modeling --- joint static strength --- finite element method --- parametric investigation --- reinforced joint (collar and doubler plate) --- nonlocal elasticity theory --- Galerkin weighted residual FEM --- silicon carbide nanowire --- silver nanowire --- gold nanowire --- biostructure --- rostrum --- paddlefish --- Polyodon spathula --- maximum-flow/minimum-cut --- stress patterns --- finite element modelling --- laminated composite plates --- non-uniform mechanical properties --- panel method --- marine propeller --- noise --- FW-H equations --- experimental test --- continuation methods --- bifurcations --- limit points --- cohesive elements --- functionally graded materials --- porosity distributions --- first-order shear deformation theory --- shear correction factor --- higher-order shear deformation theory --- equivalent single-layer approach --- n/a
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The demand for cast iron components, with weights ranging from a few kilograms to several tons, has increased significantly in recent years, both for technical and economic reasons. In fact, the lower cost compared to other alloys, and the good castability, which allow one to obtain near-net shape components in as-cast conditions, and the mechanical properties that can be obtained, are just some of the motivations that attract mechanical designers. However, correct design requires a good knowledge of the intrinsic correlation among alloy chemical composition, process parameters, microstructure (with casting defects) and mechanical properties. This book is aimed at collecting excellent and recent research experimental and theoretical works in this filed. Technological (say, wear resistance and weldability) and mechanical properties (say, Young modulus, static and fatigue strength) of different grades of cast irons, ranging from solution strengthened ferritic ductile iron to compacted graphite iron as well as white and nodular cast irons, are correlated with the alloy chemical composition, process parameters and casting dimension.
boundary element method (BEM) --- periodic boundary conditions --- representative volume elements (RVEs) --- effective elastic properties --- homogenization --- lamellar graphite iron --- ultimate tensile strength --- primary austenite --- gravity casting process simulation --- nodular cast iron --- effective Young’s modulus --- computational homogenization --- multiscale numerical methods --- micro-CT --- finite elements --- n/a --- silicon solution strengthened ferritic ductile iron --- thickness --- solidification time --- microstructure --- mechanical properties --- fatigue --- thermal analysis --- weldability --- pre-heating --- spheroidal graphite cast iron --- ductile cast irons --- tensile tests --- plasticity modelling --- compacted graphite iron --- minimum quantity lubrication (MQL) --- drilling machinability --- dry machining --- ductile iron --- cooling rate --- segregation --- cast iron --- high-chromium --- abrasive wear --- niobium alloying --- high chromium cast irons --- eutectic carbide --- carbide volume fraction --- chemical composition --- image analysis --- simulation --- MatCalc --- hardness --- effective Young's modulus
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