A Finite Temperature Multiscale Interphase Zone Model and Simulations of Fracture

2012 ◽  
Vol 134 (3) ◽  
Author(s):  
Lisheng Liu ◽  
Shaofan Li
Keyword(s):  
Finite Element ◽  
Finite Temperature ◽  
Thermal Conduction ◽  
Colloidal Crystal ◽  
Constitutive Relations ◽  
Harmonic Approximation ◽  
Zone Model ◽  
Element Formulation ◽  
Material Interface ◽  
Finite Element Procedure

In this work, an atomistic-based finite temperature multiscale interphase finite element method has been developed, and it has been applied to study fracture process of metallic materials at finite temperature. The coupled thermomechanical finite element formulation is derived based on continuum thermodynamics principles. The mesoscale constitutive relations and thermal conduction properties of materials are enriched by atomistic information of the underneath lattice microstructure in both bulk elements and interphase cohesive zone. This is accomplished by employing the Cauchy–Born rule, harmonic approximation, and colloidal crystal approximation. A main advantage of the proposed approach is its ability to capture the thermal conduction inside the material interface. The multiscale finite element procedure is performed to simulate an engineering nickel plate specimen with weak interfaces under uni-axial stretch. The simulation results indicate that the crack propagation is slowed down by thermal expansion, and a cooling region is found in the front of crack tip. These phenomena agree with related experimental results. The effect of different loading rates on fracture is also investigated.

scholarly journals COMPUTATION FOR THE DELAMINATION IN THE LAMINATE COMPOSITE MATERIAL USING A COHESIVE ZONE MODEL BY ABAQUS

2020 ◽  
Vol 57 (6A) ◽  
pp. 61
Author(s):  
Hoa Cong Vu
Keyword(s):  
Finite Element ◽  
Cohesive Zone Model ◽  
Constitutive Relations ◽  
Damage Zone ◽  
Damage Model ◽  
Zone Model ◽  
Element Formulation ◽  
Cohesive Elements ◽  
Element Mesh ◽  
Variable Mode

In this paper, a damage model using cohesive damage zone for the simulation of progressive delamination under variable mode is presented. The constitutive relations, based on liner softening law, are using for formulation of the delamination onset and propagation. The implementation of the cohesive elements is described, along with instructions on how to incorporate the elements into a finite element mesh. The model is implemented in a finite element formulation in ABAQUS. The numerical results given by the model are compare with experimental data

scholarly journals COMPUTATION FOR THE DELAMINATION IN THE LAMINATE COMPOSITE MATERIAL USING A COHESIVE ZONE MODEL BY ABAQUS

2020 ◽  
Vol 57 (6A) ◽  
pp. 61
Author(s):  
Hoa Cong Vu
Keyword(s):  
Finite Element ◽  
Cohesive Zone Model ◽  
Constitutive Relations ◽  
Damage Zone ◽  
Damage Model ◽  
Zone Model ◽  
Element Formulation ◽  
Cohesive Elements ◽  
Element Mesh ◽  
Variable Mode

In this paper, a damage model using cohesive damage zone for the simulation of progressive delamination under variable mode is presented. The constitutive relations, based on liner softening law, are using for formulation of the delamination onset and propagation. The implementation of the cohesive elements is described, along with instructions on how to incorporate the elements into a finite element mesh. The model is implemented in a finite element formulation in ABAQUS. The numerical results given by the model are compare with experimental data

Layer-by-Layer Finite Element Analysis of Smart Composite Plates

2008 ◽  
Vol 47-50 ◽  
pp. 1011-1014
Author(s):  
V.L. Sateesh ◽  
C.S. Upadhyay ◽  
C. Venkatesan
Keyword(s):  
Finite Element ◽  
Constitutive Relations ◽  
Nonlinear Problems ◽  
Composite Plates ◽  
Nonlinear Effects ◽  
Element Formulation ◽  
Layer By Layer ◽  
Element Analysis ◽  
Electric Field Polarization ◽  
Linear And Nonlinear

Electric field-polarization interaction shows nonlinear effects in the constitutive relations. In this study, an attempt is made to include these interaction effects in the finite element formulation. A layer-by-layer finite element code is developed to handle the linear and nonlinear problems. Linear and nonlinear analysis is carried out for a smart plate with surfacemounted distributed piezo layer. The nonlinearity leads to a significant increase in the transverse deformation.

Dynamic Viscoelastic Incremental-Layerwise Finite Element Method for Multilayered Structure Analysis Based on the Relaxation Approach

2014 ◽  
Vol 30 (6) ◽  
pp. 593-602 ◽  
Author(s):  
M. Malakouti ◽  
M. Ameri ◽  
P. Malekzadeh
Keyword(s):  
Finite Element ◽  
Viscoelastic Material ◽  
Constitutive Relations ◽  
Computer Code ◽  
Multilayered Structure ◽  
Numerical Results ◽  
Material Behavior ◽  
Element Formulation ◽  
Element Analysis ◽  
Laminated Structures

AbstractThis paper presents an axisymmetric layerwise finite element formulation for dynamic analysis of laminated structures with embedded viscoelastic material whose constitutive behavior is represented by the Prony-generalized Maxwell series. To account the time dependence of the constitutive relations of linear viscoelastic materials, the incremental formulation in the temporal domain is used. Layerwise finite element has been shown to provide an efficient and accurate tool for the simulation of laminated structure. Most of the previous work on numerical simulation of laminated structures has been limited to elastic material behavior. Thus, the current work focuses on layerwise finite element analysis of laminated structures with embedded viscoelastic material. A computer code based on the presented formulation has been developed to provide the numerical results. The present approach is verified by studying its convergence behavior and comparing the numerical results with those obtained using the ABAQUS software. Finally, and as an application of the presented formulation, the effects of load duration on the dynamic structural responses of multilayered pavements are studied.

scholarly journals A Finite Element Procedure with Poisson Iteration Method Adopting Pattern Approach Technique for Near-Incompressible Rubber Problems

2014 ◽  
Vol 6 ◽  
pp. 272574 ◽  
Author(s):  
Young-Doo Kwon ◽  
Soon-Bum Kwon ◽  
Xiaozhe Lu ◽  
Hyun-Wook Kwon
Keyword(s):  
Finite Element ◽  
Poisson’S Ratio ◽  
Virtual Work ◽  
Poisson Ratio ◽  
Constitutive Relations ◽  
Poisson's Ratio ◽  
Lagrangian Description ◽  
Hyperelastic Materials ◽  
Finite Element Procedure ◽  
Incompressible Rubber

A finite element procedure is presented for the analysis of rubber-like hyperelastic materials. The volumetric incompressibility condition of rubber deformation is included in the formulation using the penalty method, while the principle of virtual work is used to derive a nonlinear finite element equation for the large displacement problem that is presented in a total-Lagrangian description. The behavior of rubber deformation is represented by hyperelastic constitutive relations based on a generalized Mooney-Rivlin model. The proposed finite element procedure using analytic differentiation exhibited results that matched very well with those from the well-known commercial packages NISA II and ABAQUS. Furthermore, the convergence of equilibrium iteration is quite slow or frequently fails in the case of near-incompressible rubber. To prevent such phenomenon even for the case that Poisson's ratio is very close to 0.5, Poisson's ratio of 0.49000 is used, first, to get an approximate solution without any difficulty; then the applied load is maintained and Poisson's ratio is increased to 0.49999 following a proposed pattern and adopting a technique of relaxation by monitoring the convergence rate. For a given Poisson ratio near 0.5, with this approach, we could reduce the number of substeps considerably.

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