By Shireen Afshan, Daniel Balint, Jianguo Lin (auth.), Holm Altenbach, Serge Kruch (eds.)
This quantity offers the key final result of the IUTAM symposium on “Advanced fabrics Modeling for Structures”. It discusses advances in extreme temperature fabrics study, and in addition to offers a dialogue the recent horizon of this primary box of utilized mechanics. the themes disguise a wide area of study yet position a specific emphasis on multiscale techniques at a number of size scales utilized to non linear and heterogeneous fabrics.
Discussions of recent methods are emphasized from a variety of comparable disciplines, together with steel physics, micromechanics, mathematical and computational mechanics.
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16 H. Altenbach and V. A. Eremeyev Acknowledgments The second author was supported by the DFG with the grant No. AL 341/33-1 and by the RFBR with the grant No. 12-01-00038. References 1. : A continuum theory of elastic material surfaces. Arch. Ration. Mech. Anal. 57(4), 291–323 (1975) 2. : Theory of elasticity at the nanoscale. Adv. Appl. Mech. 42, 1–68 (2008) 3. : A scaling law for properties of nanostructured materials. Proc. Royal Soc. Lond. A 462(2069), 1355–1363 (2006) 4. : Surface stress effect in mechanics of nanostructured materials.
The evolution equations for hardening state variables (K and H ) are taken in the same form as implemented in [6, 16] using the Frederick-Armstrong concept . The evolution equation for the isotropic hardening parameter H is as it follows: High-Temperature Inelastic Behavior of the Austenitic Steel AISI Type 316 Fig. 25 hysteresis loop of the tensile stress-strain diagram. Parameters C1 define the rate of saturation for parameter H towards the value of h, thus providing the stabilization of hysteresis loops and reaching the conventional value of the ultimate stress σu on the tensile stress-strain diagram.
4 Idealized creep curve with illustration of internal state variables evolution 22 H. Altenbach and Y. Gorash (a) creep strain hardening; (b) softening processes such as recovery, recrystallization, strain softening, and precipitate overaging; (c) damaging processes characterized by the damage parameter ω resulting in cavities initiation and cracking. One of these three factors—creep strain hardening (a)—tends to decrease the creep rate ε˙ cr , whereas the two factors—(b, c)—tend to increase the creep rate ε˙ cr .