k-Version of finite element method in 2-D polymer flows: Oldroyd-B constitutive model

2006 ◽  
Vol 52 (2) ◽  
pp. 119-162 ◽  
Author(s):  
K. S. Surana ◽  
A. Mohammed ◽  
J. N. Reddy ◽  
P. W. TenPas
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Polymer Flows ◽  
Element Method

An Equivalent Constitutive Model of Cancellous Bone With Fracture Prediction

2020 ◽  
Vol 142 (12) ◽  
Author(s):  
Mohammad Salem ◽  
Lindsey Westover ◽  
Samer Adeeb ◽  
Kajsa Duke
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cast Iron ◽  
Constitutive Model ◽  
Cancellous Bone ◽  
Equivalent Model ◽  
Plasticity Model ◽  
Microscale Model ◽  
Computational Resources ◽  
Element Method

Abstract To simulate the mechanical and fracture behaviors of cancellous bone in three anatomical directions and to develop an equivalent constitutive model. Microscale extended finite element method (XFEM) models of a cancellous specimen were developed with mechanical behaviors in three anatomical directions. An appropriate abaqus macroscale model replicated the behavior observed in the microscale models. The parameters were defined based on the intermediate bone material properties in the anatomical directions and assigned to an equivalent nonporous specimen of the same size. The equivalent model capability was analyzed by comparing the micro- and macromodels. The hysteresis graphs of the microscale model show that the modulus is the same in loading and unloading; similar to the metal plasticity models. The strength and failure strains in each anatomical direction are higher in compression than in tension. The microscale models exhibited an orthotropic behavior. Appropriate parameters of the cast iron plasticity model were chosen to generate macroscale models that are capable of replicating the observed microscale behavior of cancellous bone. Cancellous bone is an orthotropic material that can be simulated using a cast iron plasticity model. This model is capable of replicating the microscale behavior in finite element (FE) analysis simulations without the need for individual trabecula, leading to a reduction in computational resources without sacrificing model accuracy. Also, XFEM of cancellous bone compared to traditional finite element method proves to be a valuable tool to predict and model the fractures in the bone specimen.

Numerical Simulation of Polymer Flows in Coat-Hanger Die Using Wagner Constitutive Model

2011 ◽  
Vol 189-193 ◽  
pp. 1941-1945
Author(s):  
Yong Li ◽  
Jian Rong Zheng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Numerical Solutions ◽  
Flow Behavior ◽  
Computing Time ◽  
Three Dimensional ◽  
Die Design ◽  
Dimensional Simulation ◽  
Element Method

An understanding of flow behavior of polymer melts through a slit die is extremely important for optimizing die design. In this paper numerical simulations have been undertaken for the flow of linear low-density polyethylene through Coat-hanger sheet dies. A new finite element method is proposed to simulate the flow in slit channel using Wagner constitutive model. This is one kind of finite element semi-analytical method by which the velocity distributions in thickness direction is approach by Fourier series. Numerical results of volumetric flow and pressure in coat-hanger dies are given to compare to the three-dimensional simulation using the finite element method. It appears that numerical solutions are as accurate as the complete 3D calculations and the computing time can be saved.

Finite element method applied to the quenching of steel cylinders using a multi-phase constitutive model

2013 ◽  
Vol 83 (7) ◽  
pp. 1013-1037 ◽  
Author(s):  
Wendell P. de Oliveira ◽  
Marcelo A. Savi ◽  
Pedro Manuel C. L. Pacheco
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Multi Phase ◽  
Element Method

Crystal Plasticity Finite Element Method for Cyclic Behavior of Single Crystal Nickel-Based Superalloy

2021 ◽  
Vol 12 (01) ◽  
pp. 2150002
Author(s):  
Xiaoyu Qin ◽  
Guomin Han ◽  
Shengxu Xia ◽  
Weijie Liu ◽  
De-Ye Lin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Single Crystal ◽  
Crystal Plasticity ◽  
Constitutive Relationship ◽  
Cyclic Behavior ◽  
Crystal Plasticity Finite Element ◽  
Nickel Based Superalloy ◽  
Element Method

This paper reports the modeling and simulation of cyclic behavior of single crystal nickel-based superalloy by using the crystal plasticity finite element method. Material constitutive model based on the crystal plasticity theory is developed and is implemented in a parallel way as user subroutine modules embedded in the commercial Abaqus[Formula: see text] software. For simplicity in calibration and without loss of generality, the crystal plasticity constitutive relationship used in this work takes the form that only contains a few parameters. The parameters are optimized by using the Powell algorithm. We employ the calibrated constitutive model with the finite element solver on a cuboid and a blade to simulate cyclic and anisotropic properties of single crystal superalloy. Results show that the predicted stress–strain curves are in good agreement with the experimental measurements, and anisotropic results are presented in both elastic and plastic regions.

scholarly journals A finite element method based on modified Alonso unsaturated soil constitutive model

2021 ◽  
Vol 692 (4) ◽  
pp. 042034
Author(s):  
Zecheng Chi ◽  
Zhaowei Meng ◽  
Linyu Xie ◽  
Wei Wang ◽  
Weipeng Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Constitutive Model ◽  
Unsaturated Soil ◽  
Element Method
Sign in / Sign up

Export Citation Format

Share Document