This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.

Introduction to the Finite Element Method

This paper presents a review of the principal developments in functionally graded materials (FGMs) with an emphasis on the recent work published since 2000. Diverse areas relevant to various aspects of theory and applications of FGM are reflected in this paper. They include homogenization of particulate FGM, heat transfer issues, stress, stability and dynamic analyses, testing, manufacturing and design, applications, and fracture. The critical areas where further research is needed for a successful implementation of FGM in design are outlined in the conclusions. DOI: 10.1115/1.2777164

https://web.mst.edu/~vbirman/papers/Modeling%20and%20Analysis%20of%20FGM_Review_2007.pdf

Modeling and Analysis of Functionally Graded Materials and Structures

Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite plates

Poly(vinylidene fluoride), PVDF, as one of important polymeric materials with extensively scientific interests and technological applications, shows five crystalline polymorphs with α, β, γ, δ and e phases obtained by different processing methods. Among them, β phase PVDF presents outstanding electrical characteristics including piezo-, pyro-and ferroelectric properties. These electroactive properties are increasingly important in applications such as energy storage, spin valve devices, biomedicine, sensors and smart scaffolds. This article discusses the basic knowledge and character methods for PVDF fabrication and provides an overview of recent advances on the phase modification and recent applications of the β phase PVDF are reported. This study may provide an insight for the development and utilization for β phase PVDF nanofilms in future electronics.

https://www.mdpi.com/2073-4360/10/3/228/pdf

Properties and Applications of the β Phase Poly(vinylidene fluoride).

A review of theories for the modeling and analysis of functionally graded plates and shells

This paper presents the results of an experimental study on the interfacial bond strength of glass fiber reinforced polymer (GFRP) bars in high-strength concrete cube. The experimental program consisted of testing 54 concrete cube specimens prepared according to CSA S802-02 standard. Two main parameters were considered in the experimental investigation: the compressive strength of concrete (from 25.6 MPa to 92.4 MPa) and the type of rebar (steel, sand-coated GFRP, and helically wrapped GFRP). The test results showed that the interfacial bond strength of the GFRP bars increased as the compressive strength of concrete increased. However, the increasing rate of the bond strength of the GFRP bars with respect to the concrete strength was much smaller than that of the steel bars. The concrete specimens were sawn in half after the test for a closer investigation of the actual mode of bond failure. Visual examination of the specimens showed that bond failure of the steel bar was caused by concrete crushing against the face of the ribs, while bond failure of the GFRP bars occurred not only in the concrete but also in the bars by delamination of the resin-rich outer layer from the fiber core. The average area of the delaminated resin-rich layer of the GFRP bar increased with increasing compressive strength of concrete.

Interfacial bond strength of glass fiber reinforced polymer bars in high-strength concrete

Thermal postbuckling and vibration analyses of functionally graded plates

Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers

Vibration control of pre-twisted rotating composite thin-walled beams with piezoelectric fiber composites

It is investigated that the composite plate embedded with shape memory alloy (SMA) fibers is subject to the aerodynamic and thermal loading in the supersonic region. The nonlinear finite element equations based on the first-order shear deformation plate theory (FSDT) are formulated for the laminated composite plate embedded with SMA fibers (SMA composite plate). The von Karman strain–displacement relation is used to account for the large deflection. The incremental method considering the influence of the initial deflections and initial stresses is adopted for the temperature-dependent material properties of SMA fibers and composite matrix. The first-order piston theory is used for modeling aerodynamic loads. This study shows the effect of the SMA on the critical temperature, thermal post-buckling deflection, natural frequency and critical dynamic pressure of the SMA composite plate.

Jae-Sang Park

Papers

Interfacial bond strength of glass fiber reinforced polymer bars in high-strength concrete

Thermal postbuckling and vibration analyses of functionally graded plates

Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers

Vibration control of pre-twisted rotating composite thin-walled beams with piezoelectric fiber composites

Thermal post-buckling and flutter characteristics of composite plates embedded with shape memory alloy fibers