3D micromechanical modeling of dual phase steels using the representative volume element method

2016 ◽  
Vol 101 ◽  
pp. 27-39 ◽  
Author(s):  
Maedeh Amirmaleki ◽  
Javad Samei ◽  
Daniel E. Green ◽  
Isadora van Riemsdijk ◽  
Lorna Stewart
Keyword(s):  
Representative Volume Element ◽  
Volume Element ◽  
Micromechanical Modeling ◽  
Dual Phase ◽  
Dual Phase Steels ◽  
Representative Volume ◽  
Element Method

Micromechanical Modeling of Dual-Phase DP600 Steel Sheet Plastic Behavior Based on a Representative Volume Element Defined from the Real Microstructure

2018 ◽  
Vol 930 ◽  
pp. 293-298 ◽  
Author(s):  
Gustavo Coqui Barbosa ◽  
Luciano Pessanha Moreira ◽  
Lílian Barros da Silveira ◽  
Fabiane Roberta Freitas da Silva ◽  
Marcelo Costa Cardoso
Keyword(s):  
Finite Element ◽  
Chemical Composition ◽  
Plane Strain ◽  
Representative Volume Element ◽  
Steel Sheet ◽  
Volume Element ◽  
Dual Phase ◽  
Dual Phase Steels ◽  
The Real ◽  
Representative Volume

Dual-phase steels offer very attractive combinations of strength and ductility owing to the coexistence of different microstructures components and their interactions. These steels are suitable to the automotive industry due to their improved impact resistance increasing the passenger safety along with the vehicle weight reduction. The properties of the dual-phase steels are attributed to the chemical composition, type, size, amount and spatial distribution of different phases that can be obtained during thermomechanical treatments, namely, ferrite and martensite. In this work, the microstructure of as-received DP600 cold rolled steel sheet with 1.2 mm nominal thickness was firstly characterized by means of scanning electron microscopy technique. Then, a representative volume element was obtained from the DP600 microstructure and a micromechanical finite element model is proposed considering the steel chemical composition, average ferrite grain size, martensite volume fraction and mechanical properties of both ferrite and martensite phases. The uniaxial tension loading was simulated by assuming either plane-stress and plane-strain conditions. The numerical predictions corresponding to the plane-strain model are in good agreement with the experimental true stress-strain curve determined along the sheet rolling direction. The proposed finite element micromechanical approach based on the real microstructure proved to be an important tool to evaluate both local and overall behaviors of DP600 steel grade.

scholarly journals Representative volume element based micromechanical modelling of rod shaped glass filled epoxy composites

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Aanchna Sharma ◽  
Yashwant Munde ◽  
Vinod Kushvaha
Keyword(s):  
Representative Volume Element ◽  
Poisson’S Ratio ◽  
Volume Fraction ◽  
Tensile Modulus ◽  
Volume Element ◽  
Poisson's Ratio ◽  
Epoxy Composites ◽  
Micromechanical Modeling ◽  
Representative Volume ◽  
Shaped Glass

AbstractIn this study, Representative Volume Element based micromechanical modeling technique has been implemented to assess the mechanical properties of glass filled epoxy composites. Rod shaped glass fillers having an aspect ratio of 80 were used for preparing the epoxy composite. The three-dimensional unit cell model of representative volume element was prepared with finite element analysis tool ANSYS 19 using the periodic square and hexagonal array with an assumption that there is a perfect bonding between the filler and the epoxy matrix. Results revealed that the tensile modulus increases and Poisson’s ratio decreases with increase in the volume fraction of the filler. To study the effect of filler volume fraction, the pulse echo techniques were used to experimentally measure the tensile modulus and Poisson’s ratio for 5% to 15% volume fraction of the filler. A good agreement was found between the RVE based predicted values and the experimental results.

Three-phase micromechanical analysis of residual stresses in reinforced fiber by carbon nanotubes

2016 ◽  
Vol 51 (12) ◽  
pp. 1783-1794 ◽  
Author(s):  
Ahmad Reza Ghasemi ◽  
Mohammad Mohammadi Fesharaki ◽  
Masood Mohandes
Keyword(s):  
Finite Element Method ◽  
Carbon Nanotubes ◽  
Finite Element ◽  
Carbon Fiber ◽  
Residual Stresses ◽  
Representative Volume Element ◽  
Volume Element ◽  
The Finite Element Method ◽  
Representative Volume ◽  
Element Method

In this study, circular disk model and cylinder theory for two dimension (2D) and three dimension (3D), respectively, have been used to determine residual stresses in three-phase representative volume element. The representative volume element is consisting of three phases: carbon fiber, carbon nanotubes, and polymer matrix, that carbon fiber is reinforced by carbon nanotube using electrophoresis method. Initially, the residual stresses analysis of two-phase representative volume element has been implemented. The two-phase representative volume element has been divided to carbon fiber and matrix phases with different volume fractions. In the three-phase representative volume element, although the volume fraction of carbon fiber is constant and equal to 60%, the volume fractions of carbon nanotubes for various cases are different as 0%, 1%, 2%, 3%, 4%, and 5%. Also, there are two different methods to reinforce the fiber according to different coefficients of thermal expansion of the carbon fiber and carbon nanotube in two longitudinal and transverse directions; carbon nanotubes are placed on carbon fiber either parallel or around it like a ring. Subsequently, finite element method and circular disk model have been used for analyzing micromechanic of the residual stresses for 2D and then the results of stress invariant obtained by the finite element method have been compared with the circular disk model. Moreover, for 3D model, the finite element method and cylinder theory have been utilized for micromechanical analysis of the residual stresses and the results of stress invariant obtained by them, have been compared with each other. Results of the finite element method and analytical model have good agreement in 2D and 3D models.

scholarly journals Kỹ thuật đồng nhất hóa cho vật liệu đa tinh thể dị hướng sử dụng phần tử biên tỉ lệ

2020 ◽  
Vol 15 (1V) ◽  
pp. 60-71
Author(s):  
Nguyễn Hoàng Phương ◽  
Lê Văn Cảnh ◽  
Hồ Lê Huy Phúc
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Representative Volume Element ◽  
Volume Element ◽  
Representative Volume ◽  
Element Method

Bài báo trình bày phương pháp đồng nhất hóa cho vật liệu đa tinh thể dị hướng bằng phần tử biên tỉ lệ. Phần tử đại diện (Representative Volume Element- RVE) được rời rạc hóa thành các miền đa giác với số cạnh bất kỳ. Phần tử biên tỉ lệ (Scale Boundary Element Method-SBEM) được sử dụng để xấp xỉ trường chuyển vị của bài toán vi mô. Biến dạng tại điểm vật liệu của cấp độ vĩ mô được chuyển thành điều kiện biên trên phần tử đại diện. Các hằng số đàn hồi hữu hiệu của vật liệu đa tinh thể được xác định thông qua kỹ thuật đồng nhất hóa phần tử đại diện RVE. Ví dụ số được thực hiện cho mẫu vật liệu đa tinh thể với hướng góc α thay đổi. Kỹ thuật làm mịn lưới trên biên phần tử được áp dụng nhằm đánh giá độ hội tụ của phương pháp. Kết quả được so sánh với phương pháp phần tử hữu hạn thông thường FEM và nghiệm cận được cung cấp từ các nghiên cứu giải tích. Từ khóa: phương pháp đa tỉ lệ; kỹ thuật đồng nhất hóa; vật liệu đa tinh thể; phần tử biên tỉ lệ.  

scholarly journals EFFECT OF INTERPHASE CHARACTERISTIC AND PROPERTY ON AXIAL MODULUS OF CARBON NANOTUBE BASED COMPOSITES

1970 ◽  
Vol 41 (1) ◽  
pp. 15-24 ◽  
Author(s):  
Md. Abdulla Al Masud ◽  
A. K. M. Masud
Keyword(s):  
Mechanical Properties ◽  
Finite Element Method ◽  
Finite Element ◽  
Carbon Nanotube ◽  
Representative Volume Element ◽  
Volume Element ◽  
Representative Volume ◽  
Tensile Elastic Modulus ◽  
Micrometer Size ◽  
Element Method

In carbon nanotube (CNT) based composite, due to the small (micrometer) size of reinforcements a large amount of interphases is developed during the time of production. It is important to assess whether the interphase is responsible for the poor mechanical properties of CNT-reinforced composite. In this research, the effect of interphase property and characteristics on effective mechanical properties of CNT based composites is evaluated using a 3-D nanoscale representative volume element (RVE). The effect of both soft and stiff interphases on the Tensile Elastic Modulus (TEM) of nanocomposites is investigated using the Finite Element Method (FEM) for the case of both long and short CNTs. With the increase of thickness of stiff interphase, the stiffness of the composite increases significantly for both the short and long CNT cases. On the other hand the increase of thickness of soft interphase reduces the stiffness of the overall composite in a considerable amount.Key Words: Carbon nanotube; Interphase; Representative Volume Element; Finite Element method; TensileElastic Modulus.DOI: 10.3329/jme.v41i1.5358Journal of Mechanical Engineering, Vol. ME 41, No. 1, June 2010 15-24 

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