On a uniformly-valid asymptotic plate theory
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
|Journal / Publication||International Journal of Non-Linear Mechanics|
|Online published||2 Mar 2019|
|Publication status||Published - Jun 2019|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-85062648563&origin=recordpage|
A uniformly-valid plate theory, independent of the magnitudes of applied loads, is derived based on the two-dimensional plate theory obtained from series expansions about the bottom surface of a plate. For five different magnitudes of surface loads, it is shown by using asymptotic expansions that this unified plate theory recovers five well-known plate models in the literature to leading-order. This demonstrates its uniform validity. More generally, it provides a uniformly-valid plate model provided that two asymptotic conditions are satisfied, which can be checked as a posteriori. The weak formulation of the uniformly-valid plate equations is furnished, which can be used for finite element implementation.
- Uniformly-valid plate theory, Asymptotic method, Nonlinear elasticity