Configurational forces in a micro-cracked body
نویسندگان
چکیده
منابع مشابه
On Dual Configurational Forces
The dual conservation laws of elasticity are systematically re-examined by using both Noether’s variational approach and Coleman–Noll–Gurtin’s thermodynamics approach. These dual conservation laws can be interpreted as the dual configurational force, and therefore they provide the dual energy–momentum tensor. Some previously unknown and yet interesting results in elasticity theory have been dis...
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A variational argument is used to obtain a necessary and sufficient condition for interpreting the work done by configurational forces as the net dissipation. This condition is the Euler–Lagrange equation associated with the variational integral. We use this simple proposition to re-interpret classical results and also gain insight into recently obtained configurational forces in the stress spa...
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In a recent paper [7] we interpreted configurational forces as necessary and sufficient dissipative mechanisms such that the corresponding Euler-Lagrange equations are satisfied. We now extend this argument for a dynamic elastic medium, and show that the energy flux obtained from the dynamic J integral ensures that the equations of motion hold throughout the body.
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A new variational principle for an anisotropic elastic formulation in stress space is constructed, the Euler–Lagrange equations of which are the equations of compatibility (in terms of stress), the equilibrium equations and the traction boundary condition. Such a principle can be used to extend recently obtained configurational balance laws in stress space to the case of anisotropy.
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The shape of a uniformly rotating liquid droplet deposited on a solid substrate is determined by an iterative numerical integration of the governing nonlinear differential equation. The differential equation and the boundary conditions are derived by means of the variational analysis which delivers the expressions for the specific configurational force per unit area of the liquid/vapor interfac...
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ژورنال
عنوان ژورنال: PAMM
سال: 2007
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200700082