Download Advances in Damage Mechanics : Metals and Metal Matrix by George Z. Voyiadjis, Peter I. Kattan PDF

By George Z. Voyiadjis, Peter I. Kattan

The e-book provides the foundations of wear Mechanics besides the newest learn findings. either isotropic and anisotropic harm mechanisms are awarded. numerous harm versions are offered coupled with elastic and elasto-plastic habit. The ebook comprises chapters which are exclusively devoted to experimental investigations carried out by means of the authors. In its final bankruptcy, the e-book offers experimental facts for harm in composite fabrics that seem within the literature for the 1st time.

· Systematic remedy of wear and tear mechanics in composite materials
· contains specific and complex topics
· contains easy rules of wear mechanics
· comprises new experimental information that looks in print for the 1st time
· Covers either metals and steel matrix composite materials
· comprises new chapters on textile tensors
· moment version comprises 4 new chapters

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Additional info for Advances in Damage Mechanics : Metals and Metal Matrix Composites With an Introduction to Fabric Tensors

Sample text

The effective stress o is defined as the stress in the effective (undamaged) state. e. 3) where o is the Cauchy stress acting on the damaged area A. 3), we can obtain the following expression for the effective Cauchy stress a : a = — — (2,4) i -4> It should be noted that the effective stress a can be considered as a fictitious stress acting on an undamaged equivalent (fictitious) area A (net resisting area). 5) where e is the strain and E is the modulus of elasticity (Young's modulus). e. 6) where e and E are the effective counterparts of E and E, respectively.

Kachanov [1] introduced the idea of damage in the framework of continuum mechanics. In a damaged body, consider a volume element at the macro-scale, that is of a size large enough to contain many defects, and small enough to be considered as a material point of the mechanics of continuum. 1) where A is the effective (net) resisting area corresponding to the damaged area A, The effective area A is obtained from A by removing the surface intersections of the micro-cracks and cavities and correcting for the micro-stress concentrations in the vicinity of discontinuities and for the interactions between closed defects.

This can be done by invoking the consistency condition dg = 0. 22) with the initial condition that 4>= 0 when y = 0. 22) depends on the form of the function L(i). For simplicity, we may consider a linear function of the form L(k) = el +d, where c and d are constants. This is motivated by the hardening parameter defined for isotropic hardening in the theory of plasticity as yde^ dztj where de^ is the plastic component of the strain rate tensor*. The equivalent damage strengthening parameter can be analogously expressed a&i/dbdt or simply di whereby giving a linear function in {as discussed above.

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