Optimal design of laminated plates and shells

https://vbn.aau.dk/ws/files/311115961/LINDGAARD_LUND_2010_Nonlinear_Buckling_Optimization_of_Composite_Structures.pdf

Nonlinear Buckling Optimization of Composite Structures

Shape Memory Alloys Behaviour: A Review

The transformation kinetics formulation is the principal factor underlying the constitutive model of shape memory alloys (SMAs). Therefore, the transformation kinetics formulation, which is applicable to any status of stress and temperature, is essential for predicting the material behavior of SMAs. In this work we show that the transformation kinetics of the original Brinson model, which is the most widely used one-dimensional model, has shortcomings in the case where temperature decreases at low temperature (T<Ms). In addition, we propose a modified transformation kinetics formula that can be used for dual transformation conditions. The martensite transformation kinetics is modified so that the transformation from austenite into temperature-induced martensite, due to the decrease in temperature, is coupled with a transformation from austenite or temperature-induced martensite into stress-induced martensite, due to the increase in stress. Through this modification, the suggested formulation can properly describe the behavior of martensite fractions in the dual transformation region.

https://iopscience.iop.org/article/10.1088/0964-1726/16/1/N01/pdf

Implementation strategy for the dual transformation region in the Brinson SMA constitutive model

An evolution strategy in structural optimization problems for plates and shells

Based on Brinson's constitutive relation of SMA, a piecewise linear one-dimensional model is proposed for pseudo-elastic behavior of SMA. Calculations for examples of both cyclic static loading on SMA and dynamic response of a spring-SMA-mass system shows that prediction from the piecewise linear model does not differ much from that of Brinson's constitutive model. The adoption of linear explicit constitutive relation makes the calculation insusceptible to step size, inevitably convergent, and timesaving.

G. Sun

Papers

Piecewise linear constitutive relation for pseudo-elasticity of shape memory alloy (SMA)

A practical approach to optimal design of laminated cylindrical shells for buckling

A study on the deflection of shape memory alloy (SMA) reinforced thermo-viscoelastic beam