Meshless method for modeling of human proximal femur: treatment of nonconvex boundaries and stress analysis

Abstract

In this paper, a meshless method based on the kernel particle approximation is employed for the simulation of the human proximal femur. The proposed formulation considers treatments of nonconvex boundaries and material discontinuities in the bone structure. A preprocessor is developed for the generation of the discretized scatter particles model. Application examples were employed to explore certain stress distribution phenomena in the human proximal femur with consideration for the detrimental effects of infarction as well as aging. The effects of stress variations were also examined exposing some very interesting biomechanical features.

A mesh-free method for analysis of the thermal and mechanical buckling of functionally graded cylindrical shell panels

“…Noteworthy work encompasses thin shell analysis [15,16], modeling of the human proximal femur [17], transient thermoelastic deformations of thick FGM plates [18], and the determination of the natural frequencies of FGM plates [19]. In this paper, the buckling behavior of functionally graded shell panels subjected to mechanical and thermal loading is investigated using the element free kp-Ritz method [20][21][22][23].…”

The improved complex variable element-free Galerkin method for two-dimensional Schrödinger equation

“…The meshless method has attracted increasing attention as an alternative numerical method for solving physical and engineering problems due to its flexibility and simplicity in implementation [21][22][23][24][25][26][27]. The major advantage of the meshless method for solving partial differential equations (PDEs) is that it does not require any domain or boundary discretization.…”

Dynamic analysis of laminated composite plates with piezoelectric sensor/actuator patches using the FSDT mesh-free method

“…Lancaster and Salkauskas [4] introduced the MLS interpolants to replace the smooth particle-hydrodynamics (SPH) interpolant to deÿne a new particle volume, which ensures thermodynamic compatibility. The mesh-free methods were also employed for modeling of human proximal femur [5], elasto-plasticity [6], structural dynamics [7][8][9], shape memory alloys [10] and large deformation [11] problems. All these meshless methods were reported and veriÿed to provide convincing results.…”