Exact(1)
It is shown that the total energy densities, the sum of plastic and positive energy densities at half-life, correlate the fatigue data in both axial and torsional loading.
Similar(59)
The group then modelled scenarios for the likely sums of plastic getting into the ocean environment.
The proposed procedure is based on the application of the kinematic theorem of the plastic collapse through the evaluation of the sum of the plastic moments of the columns required, at each storey, to prevent undesired failure modes such as soft-storey mechanism.
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).
The energy dissipated by soil is quantified by the p y curves of soil springs and Masing hysteretic rule, and energy dissipated by structure is the sum of energy dissipated by all plastic hinges appeared in piles.
The total strain at the end of the holding phase is equal to the sum of the viscoelastic and the plastic strains (in the literature it is sometimes referred to as the 'creep strain').
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.
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