This paper formulates governing equations both in the alloy and at the interface.
The von Karman type geometric non-linearity and the first-order shear deformation theory are used to formulate the governing equations of motion utilizing the Hamilton principle.
We formulate the governing equations in terms of DEC for 3-D and 2-D inhomogeneous structures, and also show that the charge continuity relation is naturally satisfied.
The principle of minimum information loss is used along with the variational asymptotic method to formulate the governing variational statement for the micromechanics theory.
First, for the biaxial growth case and with the assumption of plane-strain deformation, we formulate the governing PDE system of the plate model, where the traction-free boundary conditions are adopted.
The objective of this paper is to formulate the governing equation of a cantilever bimorph beam associated with a tip mass in contact with a viscoelastic material, which is modeled by a stiffness and a damper in parallel.
We formulate the governing Nash Cournot equilibrium conditions as a variational inequality problem and identify several special cases of the model, notably, a generalization of a spatial oligopoly and a classical oligopoly problem to include design capacity variables.
The principle of virtual work is applied in the theoretical model to formulate the governing nonlinear equations and the contact conditions are introduced into the principle of virtual work.
To adopt the familiar additive split of the strain from the small strain setting, we formulate the governing equations in the logarithmic strain space and additively decompose the logarithmic strain into elastic and viscous parts.
Geometric constraint at the end of a flexible connecting rod is derived and introduced into Hamilton's principle to formulate the governing equations of the connecting rod which is modelled by Timoshenko beam theory.
