Sentence examples for forms and finite from inspiring English sources

The classical formulations for material forming either in the solid or in the liquid state are briefly recalled, in terms of material constitutive behavior, friction law, integral forms and finite element discretization.

This paper focuses on the prediction of the warpages and curvatures in unsymmetrical laminate plates using closed-form solution and finite element method.

The closed-form and finite element solutions are compared and discussed in Part II of this paper.

The results are compared with those which are available from the literature, and were obtained using conventional closed form and finite strip solutions.

For each case, closed form and finite elements solutions are developed to capture the full nonlinear pullout response and to predict the maximum stress (and potential fracture) in the solid material.

Aluminum cylindrical cups are formed with gas detonation forming technology and finite element modeling of aluminum cylindrical cup production with the detonation forming technology is performed.

Both closed-form and finite-difference solutions are given, allowing loading, temperature effects and plate prestrain to be considered in design.

Numerical applications are provided, including comparisons with closed-form solutions and finite element solutions.

Condensed silicates that form ring and finite islands have bonding strengths in the range −0.20 to −0.29 vu and in these compounds the carbonate and silicate components are intermixed since they both have bonding strengths similar to Ca2+.

The developed engineering model, with applying the Gaussian plume model, is transformed to a discrete time nonlinear concentrated parameter state-space model form using lumping and finite difference approximations.

The principle of virtual displacement is used to derive the weak forms, and the displacement finite element models are developed using the weak forms.