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Based on a multi-degree-of-freedom model, numerical procedures are implemented to solve both spatial and temporal problems.
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A refined model and numerical procedure for the non-linear analysis of reinforced concrete frames is presented.
The results from the constitutive model and numerical procedure are then compared to representative physical experiments conducted on polycrystalline rod and sheet Ti Ni.
It is observed that the experimental responses of the PSIS can be well predicted by the theoretical responses simulated by the mathematical model and numerical procedure.
Due to the complexity of the mathematical model, several different numerical procedures were generated, and their influence on the computational burden and on the reliability and accuracy of the optimization to reach the global optimum were studied.
The models and numerical procedure developed in this work can be used as an effective tool for design and scale-up of IALRs for the DCL process.
As such, any given shapes of uniaxial stress strain curves from both loading and unloading in these three stages may be automatically reproduced from the proposed model, without involving usual complicated numerical procedures in treating nonlinear rate constitutive equations with a number of switching conditions.
In order to demonstrate the validity and also precision of the model and the numerical procedure, comparisons with the previously published experimental and numerical results have been done.
We have derived a one-dimensional mathematical model and a numerical procedure for the non-linear static analysis of pre-tensioned concrete planar beams, which intends to describe quantitatively the global behaviour as well as some local phenomena in the beam, such as the tangential slip and the traction between the tendon and concrete, with accuracy sufficient for engineering design.
Additionally, two numerical procedures for modeling of compaction are described.
Numerical procedures for modelling deformable objects, with respect to their efficiency, mainly belong to the following two classes: interactive methods (that are fast but have moderate accuracy), and continuum mechanics based methods (that are accurate, but generally not fully interactive).
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