scholarly journals A Quasi-Brittle damage model in the framework of Bond-based Peridynamics with Adaptive Dynamic Relaxation method

2021 ◽  
Vol 15 (4) ◽  
pp. 8617-8623
Author(s):  
H.N. Yakin ◽  
Nik Abdullah Nik Mohamed ◽  
M.R.M. Rejab
Keyword(s):  
Progressive Failure ◽  
Failure Process ◽  
Damage Model ◽  
Relaxation Method ◽  
Static Problem ◽  
Local Theory ◽  
Physical Interaction ◽  
Dynamic Relaxation ◽  
Adaptive Dynamic ◽  
Damage Models

Peridynamics (PD) is a new tool, based on the non-local theory for modelling fracture mechanics, where particles connected through physical interaction used to represent a domain. By using the PD theory, damage or crack in a material domain can be shown in much practical representation. This study compares between Prototype Microelastic Brittle (PMB) damage model and a new Quasi-Brittle (QBR) damage model in the framework of the Bond-based Peridynamics (BBPD) in terms of the damage plot. An in-house code using Matlab was developed for BBPD with inclusion of both damage models, and tested for a quasi-static problem with the implementation of Adaptive Dynamic Relaxation (ADR) method in the theory in order to get a faster steady state solutions. This paper is the first attempt to include ADR method in the framework of BBPD for QBR damage model. This paper analysed a numerical problem with the absence of failure and compared the displacement with literature result that used Finite Element Method (FEM). The obtained numerical results are in good agreement with the result from FEM. The same problem was used with the allowance of the failure to happen for both of the damage models; PMB and QBR, to observe the damage pattern between these two damage models. PMB damage model produced damage value of roughly twice compared to the damage value from QBR damage model. It is found that the QBR damage model with ADR under quasi-static loading significantly improves the prediction of the progressive failure process, and managed to model a more realistic damage model with respect to the PMB damage model.

Study of the progressive failure of concrete by phase field modeling and experiments

2021 ◽  
pp. 105678952110014
Author(s):  
Jichang Wang ◽  
Xiaoming Guo ◽  
Nailong Zhang
Keyword(s):  
Phase Field ◽  
Progressive Failure ◽  
Failure Process ◽  
Damage Model ◽  
Concrete Fracture ◽  
Opening Displacement ◽  
Three Point Bending ◽  
Edge Notch ◽  
Modeling And Experiments ◽  
Crack Faces

In this research, experiments and numerical simulations are employed to research the failure process of concrete. Fracture experiments on three-point bending (TPB) concrete beams with a prefabricated edge notch at the middle of the beam bottom are performed using a modified rigid testing instrument. The characteristics of the crack and section are analyzed, including the crack tensile opening displacement, crack length and width, and crack faces characteristics. Also, the full curves of the force-crack tensile opening displacement (CMOD) and force-deflection of the TPB beams with the prefabricated edge notch after breakage are obtained. The phase field (PF) damage model is applied to the mixed-mode and mode-I failure processes of concrete structures through the ABAQUS subroutine user defined element (UEL). The crack path and the full curves of force-CMOD and force-deflection obtained by numerical calculations are consistent with the experimental results and the calculated results of other researchers. The influences of the mesh sizes, initial lengths, and notched depths on the TPB beam of concrete are also analyzed.

Parallel Computing Procedure for Dynamic Relaxation Method on GPU Using NVIDIA's CUDA

2016 ◽  
Vol 821 ◽  
pp. 331-337 ◽  
Author(s):  
Václav Rek ◽  
Ivan Němec
Keyword(s):  
Parallel Computing ◽  
Graphics Processing Units ◽  
High Performance ◽  
Equations Of Motion ◽  
Relaxation Method ◽  
Static Problem ◽  
Processing Unit ◽  
Dynamic Relaxation ◽  
Central Difference ◽  
Dynamic Relaxation Method

This paper introduces a procedure for parallel computing with the Dynamic Relaxation method (DR) on a Graphic Processing Unit (GPU).This method facilitates the consideration of a variety of nonlinearities in an easy and explicit manner.Because of the presence of inertial forces, a static problem leads to a transient dynamic problem where the Central Difference Method is usedas a method for direct integration of equations of motion which arise from the Finite Element model.The natural characteristic of this explicit method is that the scheme can be easily parallelized. The assembly of a global stiffness matrix is not required.Due to slow convergence with this method, the high performance which GPUs provide is strongly suitable for this kind of computation.NVIDIA's CUDA is used for general-purpose computing on graphics processing units (GPGPU) for NVIDIA's GPUs with CUDA capability.

scholarly journals The Progressive Failure Analysis of Uni-Directional Fibre Reinforced Composite Laminates

2020 ◽  
Vol 36 (2) ◽  
pp. 159-166
Author(s):  
T. Yi
Keyword(s):  
Composite Laminates ◽  
Progressive Failure ◽  
Failure Process ◽  
Damage Model ◽  
Three Dimensional ◽  
Dissipated Energy ◽  
Solid Element ◽  
Reinforced Composite ◽  
Shear Rupture ◽  
Composite Solid

ABSTRACTThe three dimensional standard damage model developed by Lavedeze et.al [9, 13] for uni-directional fibre reinforced ply is implemented into the nonlinear solution of NX Nastran within composite solid element to analyze the progressive damage process and ultimate failure of fibre reinforced composite laminates. This ply level meso-damage-constitutive-model takes into account main damage mechanisms including fibre breaking, matrix transverse cracking, and fibre/matrix de-bonding; also considers contributions like plasticity coupling, damage delay effects, and elastic nonlinearity in fibre compression. Dissipated energy and damage status are also introduced to reflect the damage condition on the macrostructural-level. Using the implemented code, simulation is carried out on the uniaxial tension of a [±45]2s laminate with IM6/914 material, wherein the predicted ply shear rupture stress matches the experimental results very well and better than the theoretical predictions in literature. Moreover, a [-45/0/45/90] holed laminate loaded in tension is simulated to show the complex behavior of subcritical damage evolution and failure process in the composite structure. The composite solid element with damage model supported in NX Nastran is shown to be a reliable tool to analyze the progressive failure of uni-directional fibre reinforced composite laminates.

Progressive Damage Model of FRP Composite Laminates with Central Hole

2011 ◽  
Vol 194-196 ◽  
pp. 1581-1585
Author(s):  
Chong Qiang Sun ◽  
Jian Yu Zhang ◽  
Bin Jun Fei
Keyword(s):  
Composite Laminates ◽  
Failure Process ◽  
Damage Model ◽  
Failure Criteria ◽  
Numerical Results ◽  
Central Hole ◽  
Progressive Damage ◽  
Element Mesh ◽  
Damage Models ◽  
Frp Composite

Progressive damage method is adopted to predict the static mechanics properties of FRP composite laminates with central hole. Progressive damage models with three different 3D failure criteria and material degradation models are established and analyzed via a user defined subroutine embedded into the general FEA package. Numerical results indicate that all the three 3D failure criteria can simulate the failure process of FRP laminates with central hole, but the final failure load is different. Degradation coefficient and the finite element mesh have significant effect on the numerical results.

scholarly journals Damage and Failure Process of Concrete Structure under Uniaxial Compression Based on Peridynamics Modeling

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Feng Shen ◽  
Qing Zhang ◽  
Dan Huang
Keyword(s):  
Uniaxial Compression ◽  
Progressive Failure ◽  
Failure Process ◽  
Local Theory ◽  
Future Research ◽  
Open Problems ◽  
Promising Alternative ◽  
Peridynamic Theory ◽  
Damage And Failure ◽  
Peridynamic Model

Peridynamics is a nonlocal formulation of continuum mechanics, which uses integral formulation rather than the spatial partial differential equations. The peridynamic approach avoids using any spatial derivatives, which arise naturally in the classical local theory. It has shown effectiveness and advantage in solving discontinuous problems at both macro- and microscales. In this paper, the peridynamic theory is used to analyze damage and progressive failure of concrete structures. A nonlocal peridynamic model for concrete columns under uniaxial compression is developed. Numerical example illustrates that cracks in a peridynamic body of concrete form spontaneously. The result of the example clarifies the unique advantage of modeling damage accumulation and progressive failure of concrete based on peridynamic theory. This study provides a new promising alternative for analyzing complicated discontinuity problems. Finally, some open problems and future research trends in peridynamics are discussed.

scholarly journals A Continuum Damage Model for Intralaminar Progressive Failure Analysis of CFRP Laminates Based on the Modified Puck’s Theory

Materials ◽  
2019 ◽  
Vol 12 (20) ◽  
pp. 3292
Author(s):  
Gu ◽  
Li ◽  
Su
Keyword(s):  
Coordinate System ◽  
Progressive Failure ◽  
Failure Process ◽  
Damage Model ◽  
Fracture Plane ◽  
Continuum Damage ◽  
Fiber Fracture ◽  
Continuum Damage Model ◽  
Cfrp Laminates ◽  
Damage Initiation

A continuum damage model is proposed to predict the intralaminar progressive failure of CFRP laminates based on the modified Puck’s theory. Puck’s failure criteria, with consideration of the in situ strength effect, are employed to evaluate the onset of intralaminar failure including fiber fracture and inter-fiber fracture. After damage initiation, a bilinear constitutive relation is used to describe the damage evolution process. In strict accordance with Puck’s concept of action plane, the extent of damage is quantified by the damage variables defined in the fracture plane coordinate system, rather than the traditional material principal coordinate system. Theoretical and experimental evaluation of CFRP laminates under different loading conditions demonstrates the rationality and effectiveness of the proposed numerical model. The model has been successfully implemented in a finite element (FE) software to simulate the intralaminar progressive failure process of CFRP laminates. A good agreement between the experimental and numerical results demonstrates that the present model is capable of predicting the intralaminar failure of CFRP laminates.

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