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This book contains geometrical and thermodynamical issues indispensable for development of a rational theory of thermoviscoplasticity. Geometrical picture of coupled thermomagnetomechanical histories of damaged solids is built both by means of Kroener's incompatibility approach as well by Eshelbian implanting eigenstrains. Duality of Euclidean anholonomic and non-Euclidean natural state space is also outlined in this book. Damaged inelastic materials of differential type, discrete and infinitesimal memory are obtained from principle of thermo-inelastic memory. Issue of plastic spin is considered. Postulate of minimal plastic work and corresponding non-associativity 4-tensor are then used to show whether associativity of flow rule holds. Postulates of Drucker, Iliushin and Hill are discussed. Thermodynamics of inelasticity is extensively discussed in classical, rational, extended and endochronic version with account to statistical thermodynamics. A non-steady aging is used in endochronic thermodynamics to cover creep-pasticity coupled inelastic histories. Multiaxial dynamic experiments with cylindrical, ``bichierino'' and cruciform specimen from austenitic stainless steels are analyzed. Quasi-rate independence and Rabotnov's plastic delay is combined with tensor representation. Inelastic ferromagnetics are treated by means of extended as well endochronic thermodynamics. For low cycle fatigue the experimentally observed displacement of magnetic induction history with respect to stress history is analyzed. Self consistent method applied to inelastic polycrystals is based on constrained micro-rotations and free meso-rotations. A special attention is devoted to slight disorder of polycrystal grains. The theory is confronted with classical J2-theory. Different inelastic multiaxial stress histories are analyzed and corresponding active slip systems determined. For numerical results micro quasi rate independence and relaxed Taylor's model are used. The theory of inelastic micromorphic polycrystals with couple stresses needs a very small number of necessary material constants. Nonproportionality of strain history as well as intergranular continuity are related to antisymmetry of stress tensor. Key topics: * Includes a detailed description of the geometry of thermo-deformation with local evolving natural state configuration * Provides a comparative review of various models of thermodynamics (classical, rational, endochronic, statistical) with special approach to inelastic high speed histories * Introduces quasi-rate independence and its application to plastic waves, ratcheting, and diffuse localization * Explores the sensor representation approach to thermo-inelastic coupled fields connected to a generalized associativity of flow rule as well as a comparison with the J2-approach * Examines micromechanics based on micro grain approach leading to reduced number of material constants * Provides biaxial cruciform specimen Hopkinson bar results * Reexamines the Hill’s yield function for nonproportional stress-thermo-strain histories This book is intended for material science experts and professionals interested in impact experiments, continuum mechanics researchers, engineers in research institutes and graduate and Phd students aiming to apply FEM to calculate strength of structures at time varying thermo-mechanical excitations.
Thermodynamics. --- Viscoplasticity. --- Thermodynamics --- Viscoplasticity --- Physics --- Physical Sciences & Mathematics --- Plasticity. --- Thermomechanical treatment. --- Engineering. --- Mathematical models. --- Mechanics. --- Mechanics, Applied. --- Continuum mechanics. --- Theoretical and Applied Mechanics. --- Mathematical Modeling and Industrial Mathematics. --- Continuum Mechanics and Mechanics of Materials. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Models, Mathematical --- Simulation methods --- Construction --- Industrial arts --- Technology --- Cohesion --- Deformations (Mechanics) --- Plastics --- Rheology --- Plasticity --- Viscosity --- Mechanics, applied. --- Solid Mechanics.
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Plastic anisotropy is a common property of many metallic materials. This property affects the analysis and design of structures and metal forming processes. The present edited collection of papers concerns analytic and numerical methods of structural and metal forming analysis and design using material models for anisotropic materials. Some qualitative features of rigid plastic solutions in anisotropic plasticity are investigated. Both rate-independent and rate-dependent constitutive equations are considered. The effect of plastic anisotropy on the distribution of residual stresses and strains is shown. Some papers deal with thermo-mechanical problems.
fractional viscoplasticity --- rate dependence --- plastic anisotropy --- non-normality --- directional viscosity --- explicit/implicit non-locality. --- hydro-mechanical deep drawing (HDD) --- mechanical property --- type of cooling --- microstructure --- rotating disk --- plane stress --- residual stresses and strains --- flow theory of plasticity --- semi-analytic solution --- anisotropic columnar jointed rock --- numerical model --- centroidal Voronoi diagram --- coefficient of variation --- polar orthotropy --- Hill’s yield criterion --- friction regimes --- singularity --- residual stress --- residual strain --- open-ended cylinder --- autofrettage --- orthotropic plasticity --- temperature-dependent material properties --- composite cylinder --- finite element analysis
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At present, the manufacturing industry is focused on the production of lighter weight components with better mechanical properties and always fulfilling all the environmental requirements. These challenges have caused a need for developing manufacturing processes in general, including obviously those devoted in particular to the development of thin-walled metallic shapes, as is the case with tubular and sheet metal parts and devices.This Special Issue is thus devoted to research in the fields of sheet metal forming and tube forming, and their applications, including both experimental and numerical approaches and using a variety of scientific and technological tools, such as forming limit diagrams (FLDs), analysis on formability and failure, strain analysis based on circle grids or digital image correlation (DIC), and finite element analysis (FEA), among others.In this context, we are pleased to present this Special Issue dealing with recent studies in the field of tube and sheet metal forming processes and their main applications within different high-tech industries, such as the aerospace, automotive, or medical sectors, among others.
micro tube --- hollow sinking --- plastic anisotropy --- surface quality --- size effect --- plasticity --- strength --- metallic tubes --- finite element analysis --- accumulative extrusion bonding --- kinematic bending --- product properties --- local heating --- profile bending --- asymmetric profile --- warping --- superimposed hydrostatic pressure --- shear damage growth --- fracture strain --- finite element analysis (FEA) --- additive manufacturing --- rapid prototyping --- sheet metal forming --- V-bending --- groove pressing --- HA-SPIF --- surface finish --- machine learning --- Ti6Al4V --- R-value --- thickness strain --- digital image correlation --- multi-camera DIC --- non-destructive testing --- single point incremental forming --- tube expansion --- formability --- fracture --- stress-triaxiality --- strain-hardening --- viscoplasticity --- bending --- semi-analytic solution --- Ti-6Al-4V ELI --- superplastic forming --- custom prosthesis --- in vivo tests --- n/a --- Technology --- Engineering --- History.
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The use of machine learning in mechanics is booming. Algorithms inspired by developments in the field of artificial intelligence today cover increasingly varied fields of application. This book illustrates recent results on coupling machine learning with computational mechanics, particularly for the construction of surrogate models or reduced order models. The articles contained in this compilation were presented at the EUROMECH Colloquium 597, « Reduced Order Modeling in Mechanics of Materials », held in Bad Herrenalb, Germany, from August 28th to August 31th 2018. In this book, Artificial Neural Networks are coupled to physics-based models. The tensor format of simulation data is exploited in surrogate models or for data pruning. Various reduced order models are proposed via machine learning strategies applied to simulation data. Since reduced order models have specific approximation errors, error estimators are also proposed in this book. The proposed numerical examples are very close to engineering problems. The reader would find this book to be a useful reference in identifying progress in machine learning and reduced order modeling for computational mechanics.
supervised machine learning --- proper orthogonal decomposition (POD) --- PGD compression --- stabilization --- nonlinear reduced order model --- gappy POD --- symplectic model order reduction --- neural network --- snapshot proper orthogonal decomposition --- 3D reconstruction --- microstructure property linkage --- nonlinear material behaviour --- proper orthogonal decomposition --- reduced basis --- ECSW --- geometric nonlinearity --- POD --- model order reduction --- elasto-viscoplasticity --- sampling --- surrogate modeling --- model reduction --- enhanced POD --- archive --- modal analysis --- low-rank approximation --- computational homogenization --- artificial neural networks --- unsupervised machine learning --- large strain --- reduced-order model --- proper generalised decomposition (PGD) --- a priori enrichment --- elastoviscoplastic behavior --- error indicator --- computational homogenisation --- empirical cubature method --- nonlinear structural mechanics --- reduced integration domain --- model order reduction (MOR) --- structure preservation of symplecticity --- heterogeneous data --- reduced order modeling (ROM) --- parameter-dependent model --- data science --- Hencky strain --- dynamic extrapolation --- tensor-train decomposition --- hyper-reduction --- empirical cubature --- randomised SVD --- machine learning --- inverse problem plasticity --- proper symplectic decomposition (PSD) --- finite deformation --- Hamiltonian system --- DEIM --- GNAT
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