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The strain energy in the form of elastic deformation is mostly recoverable in the form of mechanical work. For example, the heat of combustion of cyclopropane (696 kJ/mol) is higher than that of propane (657 kJ/mol) for each additional CH 2 unit. Compounds with unusually large strain energy include tetrahedranes, propellanes, cubane-type ...
A strain energy density function or stored energy density function is a scalar-valued function that relates the strain energy density of a material to the deformation ...
Plot of Load vs. Displacement. The energy release rate is defined [3] as the instantaneous loss of total potential energy per unit crack growth area , , where the total potential energy is written in terms of the total strain energy , surface traction , displacement , and body force by
There are situations where seemingly identical conformations are not equal in strain energy. Syn-pentane strain is an example of this situation. There are two different ways to put both of the bonds the central in n-pentane into a gauche conformation, one of which is 3 kcal mol −1 higher in energy than the other. [1]
The J-integral represents a way to calculate the strain energy release rate, or work per unit fracture surface area, in a material. [1] The theoretical concept of J-integral was developed in 1967 by G. P. Cherepanov [2] and independently in 1968 by James R. Rice, [3] who showed that an energetic contour path integral (called J) was independent of the path around a crack.
The primary, and likely most widely employed, strain-energy function formulation is the Mooney–Rivlin model, which reduces to the widely known neo-Hookean model. The strain energy density function for an incompressible Mooney–Rivlin material is = + (); =
the stored elastic strain energy which is released as a crack grows. This is the thermodynamic driving force for fracture. the dissipated energy which includes plastic dissipation and the surface energy (and any other dissipative forces that may be at work). The dissipated energy provides the thermodynamic resistance to fracture.
In mechanics, strain is defined as relative deformation, compared to a reference position configuration. Different equivalent choices may be made for the expression of a strain field depending on whether it is defined with respect to the initial or the final configuration of the body and on whether the metric tensor or its dual is considered.