Mechanics of isotropic elastic-plastic flow in pressure-sensitivedamaging bodies under finite strains – revisited
Artykuł w czasopiśmie
| Status: | |
| Autorzy: | Raniecki Bogdan , Huu Viem Nguyen |
| Rok wydania: | 2010 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 9 |
| Wolumen/Tom: | 90 |
| Strony: | 682 - 700 |
| Impact Factor: | 0,831 |
| Web of Science® Times Cited: | 0 |
| Scopus® Cytowania: | 0 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| The general theoretical framework for modeling the plastic flow at finite strain is reconsidered. The Eckard-Mandel conceptof multiplicative decomposition of the total deformation tensor is used together with the logarithmic elastic strain measureas external state variable. The rate constitutive relations formulated in the mobile Lagrangian description are transformedto the form appropriate for application of updated Lagrangian numerical techniques. This exhibits the structure of plasticincrement of total strain (defined in Hill-Rice Lagrangian first order plasticity theory) following from application of mul-tiplicative decomposition of the deformation tensor. The rate equations are reduced to the fairly simple form by makingplausible physical assumptions concerning deformation behavior of real plastically deformed non-rubber like materials.Since most of such materials exhibits small distortional elastic strains, and possibly large dilatational deformation undersufficiently high pressure, the postulated mathematical form of elastic shear strain energy function is the same as in usualinfinitesimal theories. The general method for incorporation of the pressure sensitivity (including hydrodynamic behaviourof metals at high pressure) and possible damage into the framework of the usual theory of plasticity is discussed. Thematerial (the derived non-associated flow law) and the mechanical descriptions are combined through the relevant bridgingequation and the simple choice of the orientation of material element in the conceptual unloaded configuration (vanishingspin of permanent strains). The general rate boundary value problem is formulated and estimation method of the primarybifurcation state is revived. |
