A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
On Shakedown of Elastic Plastic Bodies with Brittle Damage
Abstract Conditions for shakedown of elastic plastic bodies with brittle damage are investigated. In the case of isotropic damage the evolution equation for the damage tensor can be integrated. As a result a one-to-one relation between the damage parameter and maximal value of the damage energy release rate is obtained The consideration of features of the stress path in the stress space leads to necessary shakedown conditions and the notion of core of the limit (stationary) yield condition. The existence of core is a necessary shakedown condition for arbitrary hardening laws. It is sufficient in the case of isotropic hardening and hardening laws similar to it. The notion of core provides a possibility of formulating necessary shakedown conditions for damaged bodies. With a purpose of developing approximate methods able to direct investigating the asymptotic behavior (failure, or non-failure) of damaged bodies, a simplified material model of perfect brittle damage was introduced which ignores the effect of plastic deformation on developing of damage. The mechanical behavior of bodies experienced the development of anisotropy due to microcracks opening and closing (anisotropic damage) is compared with that of the bodies with isotropic damage. It was shown that, in the frames of linear approach, a body with anisotropic damage will shake down, if the isotropically damaged body of the same shape and sizes, and subjected to the same loading program is shaken down.
On Shakedown of Elastic Plastic Bodies with Brittle Damage
Abstract Conditions for shakedown of elastic plastic bodies with brittle damage are investigated. In the case of isotropic damage the evolution equation for the damage tensor can be integrated. As a result a one-to-one relation between the damage parameter and maximal value of the damage energy release rate is obtained The consideration of features of the stress path in the stress space leads to necessary shakedown conditions and the notion of core of the limit (stationary) yield condition. The existence of core is a necessary shakedown condition for arbitrary hardening laws. It is sufficient in the case of isotropic hardening and hardening laws similar to it. The notion of core provides a possibility of formulating necessary shakedown conditions for damaged bodies. With a purpose of developing approximate methods able to direct investigating the asymptotic behavior (failure, or non-failure) of damaged bodies, a simplified material model of perfect brittle damage was introduced which ignores the effect of plastic deformation on developing of damage. The mechanical behavior of bodies experienced the development of anisotropy due to microcracks opening and closing (anisotropic damage) is compared with that of the bodies with isotropic damage. It was shown that, in the frames of linear approach, a body with anisotropic damage will shake down, if the isotropically damaged body of the same shape and sizes, and subjected to the same loading program is shaken down.
On Shakedown of Elastic Plastic Bodies with Brittle Damage
Druyanov, B. (author) / Roman, I. (author)
2000-01-01
16 pages
Article/Chapter (Book)
Electronic Resource
English
Shakedown theory for elastic plastic kinematic hardening bodies
| British Library Online Contents | 2007
Shakedown kinematic theorem for elastic-perfectly plastic bodies
| British Library Online Contents | 2001
Shakedown of elastic- plastic structures
| Elsevier | 1988
An elastic-plastic shakedown analysis of fretting wear
| British Library Online Contents | 2001
Bounds on plastic strains for elastic plastic structures in plastic shakedown conditions
| British Library Online Contents | 2007