The direct time integration method using the 3D elastic homogenization formulas performs accurately and efficiently for this problem.
The effective viscoelastic properties obtained using the three methods based on the elastic homogenization formulas were in very good agreement with the reference solution.
The properties were determined by three methods that exploited the 3D elastic homogenization formulas: (i) quasi-elastic method, (ii) correspondence principle, and (iii) direct time integration of the incremental viscoelastic equations.
Finally, the formula between (elastic, elastic-plastic, plastic) contact area, (elastic, elastic-plastic, plastic) contact load and the key parameters (fractal parameters and macro parameters) are derived based on the proposed model.
The bulk moduli of hexagonal GaP nanowires are evaluating using the second order elastic constants with the formula B = 2(C 11 + C 12 + 2C 13 + C 33/2)/9.
Equilibrium method is utilised to derive the formula of elastic buckling load of a pin-ended DPCS-BRB, and the obtained results have been verified through FE analysis.
The mature polymer gel pill based on multi-crosslinking formulated with a combination of SPAM, fresh Chromium acetate, PEI and HMTA indicates an obvious viscoelasticity characteristic at high temperature of 150 °C, while exhibiting a notable elastic performance for the formula without crosslinker HMTA.
Equilibrium method is utilised to deduce formulas of elastic buckling load of pin-ended PCS-BRB.
Classical simple formulae for elastic hoop stresses in cylindrical and spherical pressure vessels continue to be used in structural analysis today because they facilitate design procedures.
The formulas for elastic local buckling stress of the steel plates in rectangular CFT columns under eccentric compression are derived, assuming that the unloaded edges of the steel plate are elastically restrained against rotation, whereas the loaded edges are clamped.
