Next generation microscopes may exploit multi-color sources, increased detector parallelism, increased frame rate, or stroboscopic structured illumination to extract higher-dimensional, higher resolution, higher frame-rate characterization of a specimen.
The in-plane dimensions of the plate are modeled by two-dimensional higher order spectral element.
Based on the power series expansion of displacement components, a set of fundamental dynamic equations of a two-dimensional higher order shallow shell theory is derived through Hamilton's principle.
By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a one-dimensional higher order theory for laminated composite beams subjected to axial stress is derived through Hamilton's principle.
By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a one-dimensional higher order theory for thin rectangular beam-columns subjected to axial stress is derived through Hamilton's principle.
By using the method of power series expansion of displacement components, a set of fundamental dynamic equations of a one-dimensional higher order theory for laminated composite circular arches subjected to initial axial stress is derived through Hamilton's principle.
And if this cluster C does not exists in any of the (d+1 -dimensional higher subspaces, then it is called+1 -dimensionalpace cluster.
A stress analysis of a functionally graded plate subjected to thermal and mechanical loads was performed in Matsunaga (2009) using a two-dimensional higher order theory.
Substantial amounts of research are still being undertaken to study one- or multi-dimensional higher-order schemes with adaptive limiters over Cartesian or unstructured grids.
The three-dimensional (3D) version of a new homogenization theory [A Two-Dimensional, Higher-Order, Elasticity-Based Micromechanics Model, in print] is presented.
