Sentence examples for sum of elastic from inspiring English sources

We present a general approach for determining the equilibrium shape of isolated, coherent, misfitting particles by minimizing the sum of elastic and interfacial energies using a synthesis of finite element and optimization techniques.

Here, Sα = (S11 + S12)α is the sum of elastic compliance constants, Lα (aα) is the width (bulk lattice constant) of the corresponding layers regions α = w (well) or b (barrier).

The total strain rate as a sum of elastic, plastic and thermal strain rate was given as, {dot{varepsilon}}_{total}={dot{varepsilon}}_{elastic}+{dot{varepsilon}}_{plastic}+{dot{varepsilon}}_{thermal} (6).

where W elast is the area under the unloading curve, W plast the area between the loading and unloading curves, and W total the sum of elastic and plastic works determined by the total area below the loading curve (Fig. 1).

Secondly, the pressure exerted on the tracheal wall by the cuff is equal to the intracuff pressure minus the sum of elastic forces within the cuff.

In the case of multiple motors linking the organelle to the microtubule, the effective elastic constant will be given by the sum of the elastic constants of each of the motor-anchor protein complex interacting with the organelle.

The foam force is modeled as an additive sum of nonlinear elastic and linear viscoelastic effects.

This quasi-static model is based, at each time step, on the minimization of a total energy which is the sum of an elastic energy and a Griffith-type dissipated energy.

As an original contribution, the potential energy of the saturated materials weakened by closed frictional microcracks is determined and formulated as a sum of an elastic part and a plastic part, the latter entirely induced by frictional sliding of microcracks.

The rate of deformation is equal to the sum of the elastic (the rate form of Hooke's law) and the inelastic rate of deformation, which depends on the overstress.

This is combined with a gradient-based optimization approach to compute three-dimensional, parameterized curves that minimize the sum of an elastic (bending) energy and a proximity energy that maintains self-avoidance by a penalization technique.