By Han-Chin Wu
Super advances in desktop applied sciences and strategies have induced a superb call for for refinements within the constitutive types of plasticity. Such refinements contain the improvement of a version that might account for cloth anisotropy and produces effects that evaluate good with experimental facts. Key to constructing such models-and to assembly many different demanding situations within the box- is a company grab of the foundations of continuum mechanics and the way they practice to the formula of plasticity concept. additionally severe is knowing the experimental facets of plasticity and fabric anisotropy. Integrating the ordinarily separate topics of continuum mechanics and plasticity, this publication builds realizing in all of these components. half I presents systematic, entire insurance of continuum mechanics, from a evaluate of Carteisian tensors to the correct conservation legislation and constitutive equation. half II deals an exhaustive presentation of the continuum thought of plasticity. This incorporates a specific remedy of the experimental points of plasticity, covers anisotropic plasticity, and contains fresh study effects concerning the endochronic concept of plasticity got through the writer and his colleagues. through bringing all of those jointly in a single e-book, Continuum Mechanics and Plasticity allows the educational of strong mechanics. Its readers can be prepared for pursuing both learn relating to the mechanical habit of engineering fabrics or developmental paintings in engineering research and layout.
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Additional resources for Continuum mechanics and plasticity
8). 8). 5 Equations of Equilibrium We derive the equations of equilibrium by summing all the forces applied to a body and reducing it to the local form. 1, and note that every portion of this body is in equilibrium. Consider that only surface tractions and body force apply to this body.
2. Surface forces: These forces act on the surface element dS of the body. Externally applied loads, contact forces between bodies, and reactions are examples of surface forces, out of which surface tractions or stress vectors may be deﬁned. The stress vector is the stress force per unit area. 1 Body force and surface traction. 3. Body moments: These are moments applied to the volumetric element dV. It is usually expressed in terms of moment per unit volume, or moment per unit mass. 4. Couple stress: The couple stress is the moment per unit area applied on a surface.
The effects of the two cases are different locally because the stresses are not the same. The concept of stress needs to be deﬁned, and it can be represented by a second-rank tensor. We investigate the properties of stress in this chapter and we also list some references [1–6] for additional reading. 1. A generic material element of the body has a volume dV, and a generic surface element has area dS and an outward normal n. There are four types of “forces” that act on a body. The “forces” include, in a broad sense, the forces and moments.
Continuum mechanics and plasticity by Han-Chin Wu