The phrase "are formulated and validated" is correct and usable in written English.
It can be used in contexts where processes, theories, or methods are being developed and confirmed for accuracy or effectiveness.
Example: "The hypotheses are formulated and validated through rigorous testing to ensure their reliability."
Alternatives: "are developed and confirmed" or "are created and verified."
A distributed parameter electromechanical modal of the harvesting system is formulated and validated through experimental tests.
A model of the mode of deformation is formulated and validated for analysis of structural damping in the springs.
An indirect method of computing absorbed power from the apparent mass response is formulated and validated using the directly measured absorbed power data.
A mathematical model based on the thermal equilibrium assumption which takes into account the non-Darcy effects of porous foam and the Brownian motion of nanoparticles was formulated and validated with previous related experimental studies.
Despite the fact that the concept of incorporating Negative Stiffness (NS) elements within mechanical systems was formulated and validated more than 40 years ago, it has only recently received consistent attention.
In this paper, a non-Paris-law-based, unified fatigue cohesive zone model (CZM) that can predict both fatigue crack initiation and propagation in composites with or without starter cracks or stress concentrators has been formulated and validated.
In this paper a two-dimensional fatigue cohesive zone model (CZM) for crack propagation in composites under cyclic loading has been formulated and validated through successful predictions of fatigue crack growth under pure and mixed mode conditions for several different composites.
To this end, a symbolic time series analysis method has been formulated and experimentally validated on a special-purpose test apparatus that is designed for data acquisition and real-time analysis of fatigue damage in polycrystalline alloys.
A modified model of Kastl et al. (2004) which assumed that the removal occurred by adsorption of un-dissociated compounds onto ferric hydroxide was formulated and successfully validated against the jar test data.
