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Titlebook: Continuum Micromechanics; Theory and Applicati Dazhi Jiang Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive licen

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Hans-Joachim Lauth,Jürgen R. Winklerer simple shearing. Simple shearing flows are the most studied flow type in materials science and geology literature. The results of this Chapter will be used later to verify a more general investigation of an elastic prolate object in a Newtonian viscous flow.
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https://doi.org/10.1007/978-3-531-90211-1w viscous rheology, by the linearization method. We then formulate a self-consistent multiscale model based on extended formalism. Finally, we summarize how the self-consistent model may be applied to the modelling of multiscale structures in Earth’s lithosphere.
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Orientation of Fabric Elements,nes the preferred orientation of feldspars in that sample. During progressive deformation, . is a function of time. We mathematically characterize the orientation and rotation of line elements and 3D fabric elements. We also explore how to generate linear or 3D orientation sets to follow a certain given distribution in 3D space in this Chapter.
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Constitutive Equations,, the constitutive equations, rheological equations, or flow laws. In addition to the elastic behavior, other rheological behaviors such as viscous, plastic, viscoelastic, and viscoplastic behaviors are important in the deformation of Earth’s lithosphere. They are briefly reviewed in this Chapter.
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