This paper presents a modified variational principle for the treatment of thin plate bending on an elastic foundation. The foundation may be of the Winkler or Pasternak type. A hybrid Trefftz (HT) finite-element (FE) model has been developed based on the principle and a new set of T-complete functions. The derivation of the new set of trial functions is based mainly on the resolution approach o...

Even though two-phase heat transfer of refrigerants in minichannel sinks has been studied extensively, there is still a demand for improvements overall thermal performance miniature exchangers. Experimental investigation and sophisticated calculations with respect to devices are needed. In this work, time-dependent experimental study subcooled boiling was carried out FC-72 flow sink, comprising...

Nonpolynomial finite element methods for Helmholtz problems have seen much attention in recent years in the engineering and mathematics community. The idea is to use instead of standard polynomials Trefftz-type basis functions that already satisfy the Helmholtz equation, such as plane waves [17], Fourier-Bessel functions [8] or fundamental solutions [4]. To approximate the inter-element interfa...

In this paper, three-dimensionalT-Trefftz Voronoi Cell Finite Elements (VCFEM-TTs) are developed for micromechanical modeling of heterogeneous materials. Several types of VCFEMs are developed, depending on the types of heterogeneity in each element. Each VCFEM can include alternatively a spherical void, a spherical elastic inclusion, a spherical rigid inclusion, or no voids/inclusions at all.In...