Base force element method based on the complementary energy principle for the damage analysis of recycled aggregate concrete

2019 ◽  
Vol 121 (7) ◽  
pp. 1484-1506 ◽  
Author(s):  
Yao Wang ◽  
Yijiang Peng ◽  
Mahmoud M. A. Kamel ◽  
Liping Ying
Keyword(s):  
Recycled Aggregate Concrete ◽  
Recycled Aggregate ◽  
Damage Analysis ◽  
Complementary Energy ◽  
Energy Principle ◽  
Aggregate Concrete ◽  
Complementary Energy Principle ◽  
Force Element ◽  
Element Method

scholarly journals Modeling the Failure Pattern of Prenotched Recycled Aggregate Concrete Using FEM on Complementary Energy Principle

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Yao Wang ◽  
Gang Zong ◽  
Juan Liu ◽  
Chunyang Wu ◽  
Minyao Xu ◽  
...  
Keyword(s):  
Crack Path ◽  
Numerical Models ◽  
Recycled Aggregate Concrete ◽  
Failure Pattern ◽  
Recycled Aggregate ◽  
Complementary Energy ◽  
Energy Principle ◽  
Compliance Matrix ◽  
Aggregate Concrete ◽  
Complementary Energy Principle

The reuse of recycled aggregate concrete (RAC) is being researched all over the world and lots of works are focused on the notched specimen to study the crack path of RAC. A mathematical algorithm of RAC meshing was presented to explore the failure pattern in RAC. According to this algorithm, the interfacial transition zone can be defined to be an actual thickness at the micron level. Further, a new finite element method (FEM) on the complementary energy principle was introduced to simulate the mechanical behavior of RAC’s mesostructure. The compliance matrix of the element with any shape can be calculated and expressed to be a uniform and explicit expression. Several numerical models of RAC were established, in which the effecting factors of the prenotch size, thickness of ITZ, and the distance from the prenotch to the aggregate were taken into account. Hereafter, these RAC models were subjected to uniaxial tension. The effect of the aforementioned factors on the crack path was simulated. The simulated data manifest that both the mesh mode of RAC and the FEM on complementary energy principle are effective approaches to explore the failure pattern of RAC. The size of the prenotch, thickness of ITZ, and distance from the prenotch to the recycled aggregate have a powerful influence on the path and distribution of the isolated crack, width and length of the crack path, and the shape and path of continuous cracks, respectively.

scholarly journals Application of Base Force Element Method to Mesomechanics Analysis for Recycled Aggregate Concrete

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yijiang Peng ◽  
Yinghua Liu ◽  
Jiwei Pu ◽  
Lijuan Zhang
Keyword(s):  
Recycled Aggregate Concrete ◽  
Recycled Aggregate ◽  
Triangular Element ◽  
Aggregate Model ◽  
Energy Principle ◽  
Aggregate Concrete ◽  
Tension Tests ◽  
Random Aggregate ◽  
Force Element ◽  
Element Method

The base force element method (BFEM) on potential energy principle is used to analyze recycled aggregate concrete (RAC) on mesolevel. The model of BFEM with triangular element is derived. The recycled aggregate concrete is taken as five-phase composites consisting of natural coarse aggregate, new mortar, new interfacial transition zone (ITZ), old mortar, and old ITZ on meso-level. The random aggregate model is used to simulate the mesostructure of recycled aggregate concrete. The mechanics properties of uniaxial compression and tension tests for RAC are simulated using the BFEM, respectively. The simulation results agree with the test results. This research method is a new way for investigating fracture mechanism and numerical simulation of mechanics properties for recycled aggregate concrete.

scholarly journals Numerical Studies on Damage Behavior of Recycled Aggregate Concrete Based on a 3D Model

Materials ◽  
2020 ◽  
Vol 13 (2) ◽  
pp. 355
Author(s):  
Yao Wang ◽  
Huawei Zhao ◽  
Minyao Xu ◽  
Chunyang Wu ◽  
Jiajia Fu ◽  
...  
Keyword(s):  
Recycled Aggregate Concrete ◽  
Recycled Aggregate ◽  
Energy Principle ◽  
Aggregate Concrete ◽  
Numerical Studies ◽  
Weak Points ◽  
Force Element ◽  
Gaussian Integral ◽  
Major Factors ◽  
Weak Zones

This paper develops a 3D base force element method (BFEM) based on the potential energy principle. According to the BFEM, the stiffness matrix and node displacement of any eight-node hexahedral element are derived as a uniform expression. Moreover, this expression is explicitly expressed without a Gaussian integral. A 3D random numerical model of recycled aggregate concrete (RAC) is established. The randomness of aggregate was obtained by using the Monte Carlo random method. The effects of the recycled aggregate substitution and adhered mortar percentage on the elastic modulus and compressive strength are explored under uniaxial compression loading. In addition, the failure pattern is also studied. The obtained data show that the 3D BFEM is an efficient method to explore the failure mechanism of heterogeneous materials. The 3D random RAC model is feasible for characterizing the mesostructure of RAC. Both the substitution of recycled aggregate and the percentage of adhering mortar have a non-negligible influence on the mechanical properties of RAC. As the weak points in the specimen, the old interfacial transition zone (ITZ) and adhered mortar are the major factors that lead to the weakened properties of RAC. The first crack always appears in these weak zones, and then, due to the increase and transfer of stress, approximately two-to-three continuous cracks are formed in the 45°direction of the specimen.

Application of 2D base force element method with complementary energy principle for arbitrary meshes

2014 ◽  
Vol 31 (4) ◽  
pp. 691-708 ◽  
Author(s):  
Yijiang Peng ◽  
Nana Zong ◽  
Lijuan Zhang ◽  
Jiwei Pu
Keyword(s):  
Lagrange Multiplier ◽  
Lagrange Multiplier Method ◽  
Multiplier Method ◽  
Complementary Energy ◽  
Energy Principle ◽  
Content Type ◽  
Complementary Energy Principle ◽  
Force Element ◽  
2D Model ◽  
Element Method

Purpose – The purpose of this paper is to present a two-dimensional (2D) model of the base force element method (BFEM) based on the complementary energy principle. The study proposes a model of the BFEM for arbitrary mesh problems. Design/methodology/approach – The BFEM uses the base forces given by Gao (2003) as fundamental variables to describe the stress state of an elastic system. An explicit expression of element compliance matrix is derived using the concept of base forces. The detailed formulations of governing equations for the BFEM are given using the Lagrange multiplier method. The explicit displacement expression of nodes is given. To verify the 2D model, a program on the BFEM using MATLAB language is made and a number of examples on arbitrary polygonal meshes and aberrant meshes are provided to illustrate the BFEM. Findings – A good agreement is obtained between the numerical and theoretical results. Based on the studies, it is found that the 2D formulation of BFEM with complementary energy principle provides reliable predictions for arbitrary mesh problems. Research limitations/implications – Due to the use of Lagrange multiplier method, there are more basic unknowns in the control equation. The proposed method will be improved in the future. Practical implications – This paper presents a new idea and a new numerical method, and to explore new ways to solve the problem of arbitrary meshes. Originality/value – The paper presents a 2D model of the BFEM using the complementary energy principle for arbitrary mesh problems.

scholarly journals A 4-Mid-Node Plane Model of Base Force Element Method on Complementary Energy Principle

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yinghua Liu ◽  
Yijiang Peng ◽  
Lijuan Zhang ◽  
Qing Guo
Keyword(s):  
Complementary Energy ◽  
Plane Model ◽  
Energy Principle ◽  
Deformation State ◽  
Plane Element ◽  
Complementary Energy Principle ◽  
Elasticity Problems ◽  
Force Element ◽  
Base Forces ◽  
Element Method

Using the base forces as fundamental variables to describe the stress state and the displacement gradients that are the conjugate variables of the base forces to describe the deformation state for the two-dimensional elasticity problems, a 4-mid-node plane model of base force element method (BFEM) based on complementary energy principle is proposed. In this paper, the complementary energy of an element of the BFEM is constructed by using the base forces. The equilibrium conditions are released by the Lagrange multiplier method, and a modified complementary energy principle described by the base forces is obtained. The formulation of the 4-mid-node plane element of the BFEM is derived by assuming that the stress is uniformly distributed on each edge of the plane elements. A procedure of the BFEM on complementary energy principle is developed using MATLAB language. The numerical results of examples show that this model of the BFEM has high precision and is free from mesh sensitivity. This model shows good performances.

scholarly journals Application of Base Force Element Method on Complementary Energy Principle to Rock Mechanics Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-16 ◽  
Author(s):  
Yijiang Peng ◽  
Qing Guo ◽  
Zhaofeng Zhang ◽  
Yanyan Shan
Keyword(s):  
Crack Propagation ◽  
Rock Mechanics ◽  
Safety Factor ◽  
Isoparametric Element ◽  
Complementary Energy ◽  
Plane Model ◽  
Energy Principle ◽  
Complementary Energy Principle ◽  
Force Element ◽  
Element Method

The four-mid-node plane model of base force element method (BFEM) on complementary energy principle is used to analyze the rock mechanics problems. The method to simulate the crack propagation using the BFEM is proposed. And the calculation method of safety factor for rock mass stability was presented for the BFEM on complementary energy principle. The numerical researches show that the results of the BFEM are consistent with the results of conventional quadrilateral isoparametric element and quadrilateral reduced integration element, and the nonlinear BFEM has some advantages in dealing crack propagation and calculating safety factor of stability.

scholarly journals Numerical Simulation of Recycled Concrete Using Convex Aggregate Model and Base Force Element Method

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Yijiang Peng ◽  
Hao Chu ◽  
Jiwei Pu
Keyword(s):  
Damage Model ◽  
Recycled Concrete ◽  
Recycled Aggregate Concrete ◽  
Recycled Aggregate ◽  
Aggregate Model ◽  
Energy Principle ◽  
Force Element ◽  
Damage Processes ◽  
Random Convex ◽  
Element Method

By using the Base Force Element Method (BFEM) on potential energy principle, a new numerical concrete model, random convex aggregate model, is presented in this paper to simulate the experiment under uniaxial compression for recycled aggregate concrete (RAC) which can also be referred to as recycled concrete. This model is considered as a heterogeneous composite which is composed of five mediums, including natural coarse aggregate, old mortar, new mortar, new interfacial transition zone (ITZ), and old ITZ. In order to simulate the damage processes of RAC, a curve damage model was adopted as the damage constitutive model and the strength theory of maximum tensile strain was used as the failure criterion in the BFEM on mesomechanics. The numerical results obtained in this paper which contained the uniaxial compressive strengths, size effects on strength, and damage processes of RAC are in agreement with experimental observations. The research works show that the random convex aggregate model and the BFEM with the curve damage model can be used for simulating the relationship between microstructure and mechanical properties of RAC.

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