The coupled damage/plasticity model for meso-level which is ply-level in case of Uni-Directional (UD) Fiber Reinforced Polymers (FRPs) is implemented. The mathematical formulations, particularly the plasticity part, are discussed in a comprehensive manner. The plastic potential is defined in effective stress space and the damage evolution is based on the theory of irreversible thermodynamics. T...

A three-dimensional finite element model was created to analyze the influence of periodontal ligament (PDL) fibers on orthodontic tooth movement. Parametric studies were performed to ascertain the importance of fiber Young's modulus and orientation on the locations of the centers of rotation and resistance of a single-rooted tooth under a mesio-distal orthodontic load. If the Young's modulus is...

The present article is concerned with an analytical solution for some parts of rare earth doped fiber laser equations. The presented model is valid for both four and three-level fiber lasers consisting high reflectivity mirrors. A typical method to obtain initial value in the numerical solutions of fiber laser equations is shooting method, which is based on an iteration process. Whereas this st...

OBJECTIVE A three-dimensional (3D) finite element analysis (FEA) on the stress distribution of endodontically treated teeth with titanium alloy post and carbon fiber post with different alveolar bone height. MATERIALS AND METHODS The 3D model was fabricated using software to represent an endodontically treated mandibular second premolar with post and restored with a full ceramic crown restora...

Finite element models of tissue engineering scaffolds are powerful tools to understand scaffold function, including how external mechanical signals deform the scaffold at the meso- and microscales. Fiber geometry is needed to inform finite element models of fiber-based tissue engineering scaffolds; however, the accuracy and utility of these models may be limited if they are informed by non-hydr...

A complete software package is developed for finite element modeling of anisotropic materials with orientation information estimated from X-ray μCT scans. The method demonstrated a carbon fiber-reinforced epoxy pultruded profile where fiber orientations are using structure tensor analysis. model automatically generated the same dimensions as volume and stored at integration points mesh. static ...

An alternative numerical model for fiber reinforced concrete (FRC) compressive and bending tensile strength determination is presented in this paper. Fibers are modeled explicitly by using the Extended Finite Element Method (XFEM). method modeling fiber-matrix interaction, without need additional subroutine definition, proposed. The was evaluated experimental tests results good agreement. devel...

Given a field K, let R be the power series ring K[[x1, . . . , xn]]. There is a natural action of Aut(R) on the Hilbert scheme Hilb(R) parameterizing ideals in R of colength d. Recall from [10] that given a smooth variety X of dimension n and a monomial ideal I ⊂ R of finite colength, the space U(I) parametrizing subschemes of X isomorphic to Spec(R/I) sits naturally inside a suitable Hilbert s...

In this paper a composite plate with similar unidirectional fibers is considered. Assuming orthotropic structure, theory of elasticity is used for investigating the stress concentration. Also, complex variable functions are utilized for solving the plane stress problems. Then the effective characteristics of this plate are studied numerically by using ANSYS software. In this research a volume e...

Fiber tractography is useful for studying a variety of biological phenomena associated with transversely isotropic tissues, in which fibers serve to provide functional strength along a specific axis. One useful application of fiber tractography is finite-element analysis (FEA) studies. Here, we present a method utilizing computational fluid dynamics (CFD) for efficiently determining fiber traje...