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Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

Finite element method. --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Engineering mathematics. --- Mechanics, applied. --- Engineering. --- Computer science --- Statistical physics. --- Mathematical and Computational Engineering. --- Theoretical and Applied Mechanics. --- Computational Intelligence. --- Complex Systems. --- Computational Mathematics and Numerical Analysis. --- Statistical Physics and Dynamical Systems. --- Mathematics. --- Physics --- Mathematical statistics --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Construction --- Industrial arts --- Technology --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Statistical methods --- Mathematics --- Applied mathematics. --- Mechanics. --- Mechanics, Applied. --- Computational intelligence. --- Dynamical systems. --- Computer mathematics. --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory

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Finite element method --- 517.96 --- 519.6 --- 681.3 *G18 --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- 517.96 Finite differences. Functional and integral equations --- Finite differences. Functional and integral equations --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming

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Classical mechanics. Field theory --- Fluid mechanics --- Computer science --- Computer. Automation --- informatica --- algoritmen --- informaticaonderzoek --- mechanica --- numerieke analyse

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During the last years computational methods lead to new approaches that can be applied within medical practice. Based on the tremendous advances in medical imaging and high-performance computing, virtual testing is able to help in medical decision processes or implant designs. Current challenges in medicine and engineering are related to the application of computational methods to clinical medicine and the study of biological systems at different scales. Additionally manufacturers will be able to use computational tools and methods to predict the performance of their medical devices in virtual patients. The physical and animal testing procedures could be reduced by virtual prototyping of medical devices. Here simulations can enhance the performance of alternate device designs for a range of virtual patients. This will lead to a refinement of designs and to safer products. This book summarizes different aspects of approaches to enhance function, production, initialization and complications of different types of implants and related topics.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Biomedical Engineering. --- Health Informatics. --- Medical records --- Materials. --- Biomedical engineering. --- Ingénierie --- Dossiers médicaux --- Matériaux --- Génie biomédical --- Data processing. --- Informatique --- Medical records_xData processing. --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Applied Mathematics --- Materials Science --- Medicine --- Biomedical materials --- Medical technology --- Computer simulation. --- Health care technology --- Health technology --- Biocompatible materials --- Biomaterials --- Medical materials --- Clinical sciences --- Medical profession --- Materials --- Health informatics. --- Continuum mechanics. --- Technology --- Biomedical engineering --- Biocompatibility --- Prosthesis --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Biomedical Engineering and Bioengineering. --- EHR systems --- EHR technology --- EHRs (Electronic health records) --- Electronic health records --- Electronic medical records --- EMR systems --- EMRs (Electronic medical records) --- Information storage and retrieval systems --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Medical care --- Health Workforce --- Bioartificial materials --- Hemocompatible materials --- Clinical informatics --- Health informatics --- Medical information science --- Information science --- Data processing

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The subject of Computational Contact Mechanics  has many facets. Its main impact lies in the transfer of knowledge form theoretical research to applied sciences, and from there to industry. The application fields are literally countless, ranging from classical engineering to biomechanics and nano-sciences. The remarkable increase of computer power in recent years has been instrumental in enabling the development of simulation-based analysis in current design activity. This still involves tremendous effort in research,  which focuses on, for example, multi-field and multi-scale problems, algorithmic robustness, and geometrical accuracy. Moreover, several aspects of Contact Mechanics, Debonding and Fracture Mechanics,  have been combined to offer new enhanced possibilities to the computer simulation of complex phenomena. With these contributions of prominent scientists, this book offers a wide overview on the ongoing research at the highest level in the field.

Contact mechanics -- Mathematical models. --- Control theory. --- Mathematical optimization. --- Contact mechanics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Mathematical models --- Contact problems (Mechanics) --- Mechanics, Contact --- Engineering. --- Applied mathematics. --- Engineering mathematics. --- Mechanics. --- Mechanics, Applied. --- Continuum mechanics. --- Theoretical and Applied Mechanics. --- Appl.Mathematics/Computational Methods of Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Mechanics, Applied --- Mechanics, applied. --- Mathematical and Computational Engineering. --- Solid Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Engineering --- Engineering analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Mathematics --- Kontaktmechanik. --- Numerisches Verfahren. --- Solids. --- Engineering Mechanics. --- Mathematical and Computational Engineering Applications. --- Data processing. --- Solid state physics --- Transparent solids