Search results for "Hake"
showing 10 items of 220 documents
Weak forms of shakedown for elastic-plastic structures exhibiting ductile damage
2001
A special weak-form shakedown is studied for elastic-plastic internal-variable material models with nonlinear hardening, damageable elastic moduli and damageable yield surface, in the hypothesis of ductile damage, (i.e. damage induced by plastic strains), but the precise evolutive law of damage being left unspecified. Sufficient weak-form shakedown theorems are presented, one static and another kinematic, each assessing whether eventually plastic deformations cease together with their consequences, including ductile damage. A two-sided delimitation is provided, within which the weak-form shakedown safety factor can be located. An upper bound to the post-transient damage for a particular iso…
Shakedown Problems for Material Models with Internal Variables
1991
The classical shakedown theory is reconsidered with the objective of extending it to a quite general constitutive law for rate-insensitive elastic-plastic material models endowed with dual internal variables and thermodynamic potential. The statical and kinematical shakedown theorems, the corresponding approaches to the shakedown load multiplier problem and a deformation bounding theorem are presented and discussed with a view of further developments.
An approach to elastic shakedown based on the maximum plastic dissipation theorem
2000
ELASTIC-PERFECTLY PLASTIC SOLID STRUCTURES are considered subjected to combined loads, superposition of permanent (mechanical) loads and cyclically variable loads, the latter being specified to within a scalar multiplier. The classical maximum dissipation theorem is used to derive known results of the shakedown theory, as well as a few apparently novel concepts: the shakedown limit load associated with a given (noninstantaneous) collapse mode, the mixed upper bound to the shakedown safety factor, and the mixed static-kinematic formulation of the shakedown safety factor problem. The shakedown load boundary surface is also investigated and a number of its notable features are pointed out. A s…
Shakedown Under Thermomechanical Loads
2014
A shakedown theory for elastic–perfectly plastic structures subjected to thermomechanical loads varying within a given range is outlined under the assumption of temperature-dependent yield stress, but temperature-independent elastic moduli and thermal expansion coefficient are considered. Inertia and creep effects, along with thermal coupling phenomena, are considered negligible. A nonstandard constitutive model is used in which a central role is played by the yield function-assumed convex in the stress–temperature space. The inherent flow mechanism obeys the normality rule and includes, beside the standard plastic strain rates, an extra scalar variable work conjugate of the temperature, co…
Shakespeare's Romantic Italy: Novelistic, Theatrical, and Cultural Transactions in the Comedies, pp. 51-68.
2007
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