Micromechanical Modeling of Honeycomb Structures Based on a Modified Couple Stress Theory

A damped sandwich beam model based on symmetric–deviatoric couple stress theory

“…Using Eqs. (2a-d) and (4) the non-zero components of strain and curvature tensors of the Euler-Bernoulli beam model can be obtained by Park and Gao (2006) …”

“…The displacement field for a beam based on Euler-Bernoulli beam theory is given by Park and Gao (2006) …”

“…This parameter can be determined from the torsion tests of slim cylinders or bending tests of thin beams in micro scale (Park & Gao, 2006).…”

Reflection and transmission at the boundary surface of modified couple stress thermoelastic media

“…After Yang et al's [5] pioneering work, the modified couple stress theory has been concentrated on and developed in the past several years. Gao and Reddy [7] discussed a microstructure-dependent Timoshenko beam model based on a modified couple stress theory. Park and Gao [8] presented micromechanical modeling of honeycomb structures based on a modified couple stress theory.…”

Study of scale effects on the vibration of graphene sheets with applications to NEMS

“…Couple stress theory has also frequently been applied to the study of framework structures to model the scale effects in these framework structures or cellular materials Wang and Stronge (1999); Yang et al (2002); Kumar and McDowell (2004). In particular, the modified couple stress theory was applied to honeycomb framework structures Park and Gao (2008) and the dependence of the mechanical properties on the microstructure of these materials was examined.…”