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This paper emphasizes material nonlinear effects on composite beams with recourse to the plastic hinge method.
Subroutines capable of handling material nonlinear effects in the static as well as dynamic zones were developed using MATLAB.
An elasto-plastic von Mises yield criterion combined with a tri-linear type constitutive model is used to represent the material nonlinear effects.
Since the aspect ratio of the structures inside the RVE is limited and since, at room temperature, silicon behaves as a linear elastic material, nonlinear effects can be neglected until the stress field locally reaches the strength of silicon.
Therefore, the present nonlinear fire analysis can replicate the realistic behaviour, including thermal effects, geometric and material nonlinear effects, of an entire steel structure complying with a realistic fire scenario in the efficacious manner using least number of element(s).
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To give a precise prediction of piezolaminated smart structures under strong electric field resulting in large displacements and rotations, the paper develops various geometrically nonlinear models with taking into account the electroelastic material nonlinear effect.
Results show that the material nonlinear effect is important for structural integrity of solid propellant grains under higher temperature surrounding, the effect of nonlinearity is not obvious under lower temperature surrounding, and the differences between linear and nonlinear analysis results become more and more predominant as temperature increases.
The results provide a quantitative value for the appearance of the material-induced nonlinear effects in single-crystal silicon microresonators.
The structural effects such as material nonlinear behavior, prestress effect, construction process, temperature, creep of concrete and so on, which are concerned in practical engineering, are covered.
The combined material and structural modeling approach includes both material and geometric nonlinear effects.
Numerical computations are performed for the neo-Hookean material and significant nonlinear effects are discovered.
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