## What is/are Isotropic Functionally?

Isotropic Functionally - The present study bestows the analytical investigation of incremental mechanical stresses (compressive stress, shear, and tensile) and electrical displacements (vertical and horizontal components) induced due to a moving line load on an irregular transversely isotropic functionally graded viscoelastic-piezoelectric material (FGVPM) substrate.^{[1]}This paper is concerned with the numerical evaluation of the stress intensity factors (SIFs) of 2-D isotropic functionally graded materials (FGMs) by the natural element method (more exactly, Petrov-Galerkin NEM).

^{[2]}Two versions of diffusion–convection–reaction equations for anisotropic functionally graded materials (FGMs) are discussed again in this paper to find their numerical solutions by using the boundary element method (BEM).

^{[3]}This paper implements three dimensional meshless local Petrov–Galerkin method in the linear elastic fracture mechanics analyses of isotropic functionally graded and homogeneous materials under different thermo-mechanical loads.

^{[4]}In this paper, coupled axial and torsional large deformation of an incompressible isotropic functionally graded nonlinearly elastic solid cylinder is investigated.

^{[5]}This study presents the dynamic response analyze of a simply supported and isotropic functionally graded (FG) double curved panel under mechanical loading.

^{[6]}The reduction in the stress concentration factor (SCF) around a circular hole in an infinite panel by adding an isotropic functionally graded incompressible material (FGIM) lining is analytically investigated.

^{[7]}In this paper, the complex variable method is applied to study three-dimensional problems of transversely isotropic functionally graded circular plates subjected to concentrated edge forces and couples.

^{[8]}The main objective of this work is to present a numerical modeling of crack propagation path in isotropic functionally graded materials (FGMs) under mixed-mode loadings.

^{[9]}

## Transversely Isotropic Functionally

The present study bestows the analytical investigation of incremental mechanical stresses (compressive stress, shear, and tensile) and electrical displacements (vertical and horizontal components) induced due to a moving line load on an irregular transversely isotropic functionally graded viscoelastic-piezoelectric material (FGVPM) substrate.^{[1]}In this paper, the complex variable method is applied to study three-dimensional problems of transversely isotropic functionally graded circular plates subjected to concentrated edge forces and couples.

^{[2]}

## isotropic functionally graded

The present study bestows the analytical investigation of incremental mechanical stresses (compressive stress, shear, and tensile) and electrical displacements (vertical and horizontal components) induced due to a moving line load on an irregular transversely isotropic functionally graded viscoelastic-piezoelectric material (FGVPM) substrate.^{[1]}This paper is concerned with the numerical evaluation of the stress intensity factors (SIFs) of 2-D isotropic functionally graded materials (FGMs) by the natural element method (more exactly, Petrov-Galerkin NEM).

^{[2]}Two versions of diffusion–convection–reaction equations for anisotropic functionally graded materials (FGMs) are discussed again in this paper to find their numerical solutions by using the boundary element method (BEM).

^{[3]}This paper implements three dimensional meshless local Petrov–Galerkin method in the linear elastic fracture mechanics analyses of isotropic functionally graded and homogeneous materials under different thermo-mechanical loads.

^{[4]}In this paper, coupled axial and torsional large deformation of an incompressible isotropic functionally graded nonlinearly elastic solid cylinder is investigated.

^{[5]}This study presents the dynamic response analyze of a simply supported and isotropic functionally graded (FG) double curved panel under mechanical loading.

^{[6]}The reduction in the stress concentration factor (SCF) around a circular hole in an infinite panel by adding an isotropic functionally graded incompressible material (FGIM) lining is analytically investigated.

^{[7]}In this paper, the complex variable method is applied to study three-dimensional problems of transversely isotropic functionally graded circular plates subjected to concentrated edge forces and couples.

^{[8]}The main objective of this work is to present a numerical modeling of crack propagation path in isotropic functionally graded materials (FGMs) under mixed-mode loadings.

^{[9]}