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Finite elements method by virtual work principle --- Finite elements method by virtual heat principle

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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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Metal-work --- Finite element method --- Numerical analysis. --- Mathematical models. --- Finite element method. --- FINITE ELEMENTS --- ANALYSIS --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Mathematical analysis --- Models, Mathematical --- Simulation methods --- Monograph --- Metal-work - Mathematical models. --- Metal-work - mathematical models

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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