An accurate and easy to implement method for predicting matrix crack and plasticity of composites with an efficient search algorithm for LaRC05 criterion

Wang, Xiaodong; Guan, Zhidong; Du, Shiyu; Han, Geng; Li, Zengshan

doi:10.1016/j.compositesa.2020.105808

Cited by 27 publications

(10 citation statements)

References 37 publications

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“…Studies have been conducted on the fatigue of the surface layer of the material under the influence of cyclic friction [ 4 , 5 ]. In most other studies, the cracking of steel [ 6 , 7 ], composites [ 8 , 9 ], or polymers [ 10 ] has been investigated. However, no work focused on the fracture of brittle materials.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Various Criteria Determining the Direction of Crack Propagation Using the UDMGINI User Procedure Implemented in Abaqus

Gontarz

Podgórski

2021

Materials

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This paper describes a method of predicting the direction of crack propagation implemented by user subroutines in the Simulia-Abaqus FEA system with the use of the extended finite element method (X-FEM). This method is based on displacements and stresses according to Westergaard’s solution of Griffith’s crack problem. During the calculations, in each crack increment, the algorithm reads the stresses and displacements in the model around the crack tip, calculates the criterion values at the read points, reduces them to a unit distance from the crack tip, fits a polynomial to these points, and finds the minimum of the function closest to the last propagation angle. The algorithm also decides when the crack grows, depending on a chosen criterion. Four criteria have been implemented to predict the direction of failure propagation: the maximum principal stress criterion, the Ottosen–Podgórski criterion, the new criterion described here based on the minimum component values of the displacement vector, and the maximum circumferential tensile stress (MTS). These criteria were verified in two tests: the three-point bending test of the notched beam and the anchor pull-out test. For these tests, the criterion built into Simulia Abaqus does not correctly define the crack path, which causes the crack propagation direction to “rotate” when simulating the fracture. The criteria developed here, in most cases, determine the crack path and the maximum force very well compared to real laboratory tests.

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Section: Introductionmentioning

confidence: 99%

Comparison of Various Criteria Determining the Direction of Crack Propagation Using the UDMGINI User Procedure Implemented in Abaqus

Gontarz

Podgórski

2021

Materials

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“…To predict the failure initiation of a matrix-dominated failure, the LaRC05 criteria [ 34 ] were adopted in this study. The failure criteria assume that failure may appear on an arbitrary fracture plane parallel to the fiber direction depending on the combination of shear tractions (

and

) and normal traction (

) on the corresponding plane [ 46 ]. When the failure index on a certain fracture plane reaches 1, the composites fail on this plane.…”

Section: Numerical Modelmentioning

confidence: 99%

Tests and Numerical Study of Single-Lap Thermoplastic Composite Joints Bolted by Countersunk

et al. 2022

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Tensile tests were carried out to investigate the effect of stacking sequences on the bearing strength of single-lap thermoplastic composite countersunk bolted joints. A 3D elastoplastic model was built based on a plastic theory for numerical analysis. The damage initiation was judged based on LaRC05 criteria, and the damage propagation was described by using a nonlinear, gradual unloading method based on crack band theory. The accuracy of the present model was validated by comparing the numerical results to those from the tests. The test results showed that the effects of stacking sequences on the ultimate bearing strength and the 2% offset bearing strength are limited. Moreover, the numerical results depicted that the ultimate bearing strength and the 2% offset bearing strength reduce when the bolt-tightening torque or the bolt–hole clearance is increased.

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“…The progressive damage model of composite material belongs to the category of continuum damage mechanism. Different from the damage model that studies the evolution of a single macroscopic crack inside a composite material, the progressive damage model introduces damage variables to express the microdefects in the entire material [ 105 , 106 , 107 , 108 ]. These micro-defects can be considered to be continuously distributed inside the material.…”

Section: The Constitutive Relationship Of Cellular Mediummentioning

confidence: 99%

A Review on Mechanical Models for Cellular Media: Investigation on Material Characterization and Numerical Simulation

et al. 2021

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Cellular media materials are used for automobiles, aircrafts, energy-efficient buildings, transportation, and other fields due to their light weight, designability, and good impact resistance. To devise a buffer structure reasonably and avoid resource and economic loss, it is necessary to completely comprehend the constitutive relationship of the buffer structure. This paper introduces the progress on research of the mechanical properties characterization, constitutive equations, and numerical simulation of porous structures. Currently, various methods can be used to construct cellular media mechanical models including simplified phenomenological constitutive models, homogenization algorithm models, single cell models, and multi-cell models. This paper reviews current key mechanical models for cellular media, attempting to track their evolution from their inception to their latest development. These models are categorized in terms of their mechanical modeling methods. This paper focuses on the importance of constitutive relationships and microstructure models in studying mechanical properties and optimizing structural design. The key issues concerning this topic and future directions for research are also discussed.

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An accurate and easy to implement method for predicting matrix crack and plasticity of composites with an efficient search algorithm for LaRC05 criterion

Cited by 27 publications

References 37 publications

Comparison of Various Criteria Determining the Direction of Crack Propagation Using the UDMGINI User Procedure Implemented in Abaqus

Comparison of Various Criteria Determining the Direction of Crack Propagation Using the UDMGINI User Procedure Implemented in Abaqus

Tests and Numerical Study of Single-Lap Thermoplastic Composite Joints Bolted by Countersunk

A Review on Mechanical Models for Cellular Media: Investigation on Material Characterization and Numerical Simulation

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