Thermomechanics of Viscoplasticity: Fundamentals and Applications

ISBN-13: 9781493939589 / Angielski / Miękka / 2016 / 249 str.

Milan V. Micunovic

Opis

This comprehensive monograph is the first to treat the thermomechanics of viscoplasticity. It is intended for researchers and students in the fields of material science and continuum mechanics and is especially useful to the emergent field of biomechanics.

Recenzje

From the reviews: "This book exposes in a concise manner the essentials of the modern theory of viscoplasticity in relation with its basic thermomechanical foundations ... . In that sense the book represents a true ... contribution to the field. ... addresses professionals or younger readers (graduate students, PhDs, research engineers) who want to apprehend a difficult subject matter that pertains to both continuum mechanics ... and its applications in materials science. ... It is generally well and concisely written and ... generously documented." (Gérard A. Maugin, Mathematical Reviews, Issue 2010 c)

Spis treści

Preface.- Part I. Theoretical and Experimental Aspects. Introduction. 1. Physical and Geometrical Background. 2.Crystalline Materials with Thermo. inelastic Memory. 3. Normality Rule? Plastic Work Extremals and Related Topics. 4. Thermodynamics of Inelasticity. 5. Some Multiaxial Viscoplastic Experiments. Relation to Tensor Functions.- Part II. Some General Problems. 6. Viscoplasticity of Ferromagnetics. 7. Self. Consistent Method and Quasi. Rate Dependent Polycrystals. 8. Inelastic Micromorphic Polycrystals. Conclusions related to Parts I and II.- Part III. Applications of the Theory. 9. Plastic Wave Propagation in Hopkinson Bar. 10. Ratchetting Phenomenon at Low Strain Rates for AISI 16H Stainless Steel. 11. Stress and Strain Measures for Othotropic Metals at Large Nonproportional Plastic Strain Histories. Remarks on the Application of the Theory.- References. Glossary. Index.

Blurb

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.