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The structural optimization problem is subjected to kinematic stability, maximum allowable stress and deflection.
These are evaluation of maximum allowable stress, minimum required fracture toughness, and maximum tolerable defect size.
The fracture mechanics strength criteria can be applied to the derivation of the maximum allowable stress at a given cross section.
Static constraints include structural kinematic stability, maximum allowable stress in truss members, maximum allowable deflection in the truss nodes and critical buckling load.
The maximum allowable stress values to be used in the calculation of a vessel's wall thickness are given in the ASME code for many different materials.
In addition to the alternating stress, the maximum allowable stress is also shown as a function of mean stress on this Haigh diagram.
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Sizing and shape structural optimization problems are normally stated in terms of a minimum weight approach with constraints that limit the maximum allowable stresses and displacements.
Basic equations from mechanics are applied to investigate the stress state in several idealized chromatography tubes, and these stresses are evaluated with respect to the maximum allowable stresses predicted by several methods used in pressure vessel design.
An extended r-minimum algorithm is proposed to formulate the boundary condition, such as the yield of element, maximum allowable strain increment, maximum allowable rotation increment, maximum allowable equivalent stress increment, and tolerance for nodes getting out of contact with tool.
The paper outlines design optimization with practical design constraints like actual critical characteristics of the superconducting cable, maximum allowable hoop stress on winding, etc., with the objective to minimize refrigeration load into the SMES cryostat.
The maximum allowable design pressure stress will depend upon the intended service for the pipeline.
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