Ultrasonically-assisted bone cutting with high precision has manyadvantagesfororthopedic surgeries. However, irregular crack propagation, large fractured chips, and surface damagemay occurduring the processdue to brittleness anisotropy of cortical bone. These can be minimized by optimizing operating parameters tool; frequency, amplitude, speed, depth, temperature, inconsideration toughening mec...

With the construction of underground rock engineering, surrounding in deep tunnels appears zonal disintegration fracture and intact zones alternate distribution, which is a special engineering geological phenomenon. This study establishes partitioned model under coupling high in-situ stress osmotic pressure, identify key influencing factors model. Furthermore, intensity factor (SIF) initial cra...

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A numerical technique for planar three-dimensional fatigue crack growth simulations is proposed. The new technique couples the extended finite element method (X-FEM) to the fast marching method (FMM). In the X-FEM, a discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the finite element approximation to account for the crack using the notion of p...

This study presents a fast and exact computational method for crack propagation which is based on the extended finite element method (X-FEM). It is well known that the X-FEM has been developed to be an important numerical method for crack propagation. However, there are still some limitations on the computational cost due to the requirements of very refined meshes and very small iteration step ...

In the present paper we consider a 1D Poisson model characterized by the presence of an interface, where a transmission condition arises due to jumps of the coefficients. We aim at studying finite element methods with meshes not fitting such an interface. It is well known that when the mesh does not fit the material discontinuities the resulting scheme provides in general lower order accurate s...

The stable generalized finite element method (SGFEM) is an improved version of or extended FEM (GFEM/XFEM), which (i) uses simple and unfitted meshes, (ii) reaches optimal convergence orders, (iii) robust in the sense that conditioning same order as does not get bad interfaces approach boundaries elements. This paper designs SGFEM for discontinuous interface problem (DIP) by coupling a deep neu...

introduction: with the rapid increase in use of lasers in medical treatments, it is important to understand the mechanisms of heat transfer in biological tissues in order to minimize damage to the tissues resulting from extra heat applied. the aim of this study is to investigate the temperature distribution in living biological tissues when laser irradiation is used in a treatment. methods:  in...