The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.
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International Journal of Solids and Structures
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Metals, and, to a lesser extent, most solid materials, can undergo a permanent change of shape when submitted temporarily to external forces of sufficient magnitude. This mechanical property is called plasticity. It has been used since the beginning of the Bronze Age, in order to manufacture tools or weapons by turning pieces of metals into desired shapes. This was achieved with the help of bending or hammering forces, this action being made more efficient through heating the material to high temperatures. The present book aims at presenting the main ideas which constitute the microscopic physical explanation of the plastic behaviour of solids. The explanation will refer, almost exclusively, to the case of crystalline solids, i.e. solids which are built from a spatially periodic assembly of atoms. Two reasons justify this restriction.
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Zeitschrift für angewandte Mathematik und Physik ZAMP
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Journal of Engineering Materials and Technology
Within the thermodynamic framework with internal variables by Rice (1971, "Inelastic Constitutive Relations for Solids: An Internal Variable Theory and Its Application to Metal Plasticity," J. Mech. Phys. Solids, 19(6), pp. 433-455), Yang et al. (2014, "Time- Independent Plasticity Related to Critical Point of Free Energy Function and Functional," ASME J. Eng. Mater. Technol., 136(2), p. 021001) established a model of time-independent plasticity of three states. In this model, equilibrium states are the states with vanishing thermodynamic forces conjugate to the internal variables, and correspond to critical points of the free energy or its complementary energy functions. Then, the conjugate forces play a role of yield functions and further lead to the consistency conditions. The model is further elaborated in this paper and extended to nonisothermal processes. It is shown that the incremental stress-strain relations are fully determined by the local curvature of.
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In this paper, kinematic relations and constitutive laws in crystal plasticity are analyzed in the context of geometric nonlinearity description and fulfillment of thermodynamic requirements in the case of elastic deformation. We consider the most popular relations: in finite form, written in terms of the unloaded configuration, and in rate form, written in terms of the current configuration. The presence of a corotational derivative in the relations formulated in terms of the current configuration testifies to the fact that the model is based on the decomposition of motion into the deformation motion and the rigid motion of a moving coordinate system, and precisely the stress rate with respect to this coordinate system is associated with the strain rate. We also examine the relations of the mesolevel model with an explicit separation of a moving coordinate system and the elastic distortion of crystallites relative to it in the deformation gradient. These relations are compared with.
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High-Pressure Surface Science and Engineering
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Advanced Structured Materials
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A Short Introduction to the Theory of Plasticity
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International Journal of Plasticity
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