An elasto-plastic damage model for functionally graded plates with in-plane material properties variation: Material model and numerical implementation

Amirpour, Maedeh; Das, Raj; Bickerton, Simon

doi:10.1016/j.compstruct.2016.12.020

Cited by 20 publications

(12 citation statements)

References 60 publications

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“…where is the damage factor of the th damaged element and [K d ] is the stiffness element for the th damaged element. With (18) and (19), the element matrices in (14) can be assembled to obtain the global stochastic finite element equation of vibration for the damaged FGM beam.…”

Section: Finite Element Model Of Damaged Fgm Beammentioning

confidence: 99%

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Statistical Identification of Parameters for Damaged FGM Structures with Material Uncertainties in Thermal Environment

Guo

2018

Complexity

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Considering that the statistic numerical characteristics are often required in the probability-based damage identification and safety assessment of functionally graded material (FGM) structures, an stochastic model updating-based inverse computational method to identify the second-order statistics (means and variances) of material properties as well as distribution of constituents for damaged FGM structures with material uncertainties is presented by using measurable modal parameters of structures. The region truncation-based optimization method is employed to simplify the computational process in stochastic model updating. In order to implement the forward propagation of uncertainties required in the stochastic model updating and avoid large error resulting in the nonconvergence of the iteration process, an algorithm is proposed to compute the covariance between the modal parameters and the identified parameters for damaged FGM structures. The proposed method is illustrated by a numerically simulated damaged FGM beam with continuous spatial variation of material properties and verified by comparing with the Monte-Carlo simulation (MCS) method. The influences of the levels and sources of measured data uncertainties as well as the boundary conditions on the identification results are investigated. The numerical simulation results show the efficiency and effectiveness of the presented method for the identification of material parameter variability by using the measurable modal parameters of damaged FGM structures.Hindawi Complexity Volume 2018, Article ID 9034865, 21 pages https://doi.

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Section: Finite Element Model Of Damaged Fgm Beammentioning

confidence: 99%

“…However, damage such as crack and fracture often occurs in FGM structures as most of FGM structures work in harsh environment such as high temperature gradient and corrosion. Damage problems in FGM structures have been widely investigated in literatures [13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Statistical Identification of Parameters for Damaged FGM Structures with Material Uncertainties in Thermal Environment

Guo

2018

Complexity

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“…Amirpour et al [15] presented a coupled elastoplastic damage model for an FG plate with material properties varied through an in-plane direction. Eraslan and Akis [16] developed analytical solutions for the elastic-plastic problem of FG pressurized pipe under the case of plane strain.…”

Section: Introductionmentioning

confidence: 99%

Influences of Material Variations of Functionally Graded Pipe on the Bree Diagram

et al. 2020

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The present research is concerned with the elastic–plastic responses of functionally graded material (FGM) pipe, undergoing two types of loading conditions. For the first case, the FGM is subjected to sustained internal pressure combined with a cyclic bending moment whereas, in the second case, sustained internal pressure is applied simultaneously with a cyclic through-thickness temperature gradient. The properties of the studied FGM are considered to be variable through shell thickness according to a power-law function. Two different designs of the FGM pipe are adopted in the present research, where the inner surface in one case and the outer surface in the other are made from pure 1026 carbon steel. The constitutive relations are developed based on the Chaboche nonlinear kinematic hardening model, classical normality rule and von Mises yield function. The backward Euler alongside the return mapping algorithm (RMA) is employed to perform the numerical simulation. The results of the proposed integration procedure were implemented in ABAQUS using a UMAT user subroutine and validated by a comparison between experiments and finite element (FE) simulation. Various cyclic responses of the two prescribed models of FGM pipe for the two considered loading conditions are classified and brought together in one diagram known as Bree’s diagram.

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“…However, despite the fact that metal-metal FGMs dominate MEMS and microelectronic applications, these studies limit their analyses to the elastic response. Elasto-plastic investigations of deformation and fracture in FGMs have soared in recent years (see, e.g., [8,9]) but they are still confined to conventional length-independent plasticity. Numerous micron scale experiments have shown that metallic materials display strong size effects when deformed non-uniformly into the plastic range.…”

Section: Introductionmentioning

confidence: 99%

Size effects in elastic-plastic functionally graded materials

Mathew

Natarajan

Martínez‐Pañeda

2018

Composite Structures

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We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (FGMs). The model is grounded on the mechanismbased strain gradient plasticity theory and effective properties are determined by means of a linear homogenization scheme. Several paradigmatic boundary value problems are numerically investigated to gain insight into the strengthening effects associated with plastic strain gradients and geometrically necessary dislocations (GNDs). The analysis of bending in micro-size functionally graded foils shows a notably stiffer response with diminishing thickness. Micro-hardness measurements from indentation reveal a significant increase with decreasing indenter size. And large dislocation densities in the vicinity of the crack substantially elevate stresses in cracked FGM components. We comprehensively assess the influence of the length scale parameter and material gradation profile to accurately characterize the micro-scale response and identify regimes of GNDs relevance in FGMs.

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An elasto-plastic damage model for functionally graded plates with in-plane material properties variation: Material model and numerical implementation

Cited by 20 publications

References 60 publications

Statistical Identification of Parameters for Damaged FGM Structures with Material Uncertainties in Thermal Environment

Statistical Identification of Parameters for Damaged FGM Structures with Material Uncertainties in Thermal Environment

Influences of Material Variations of Functionally Graded Pipe on the Bree Diagram

Size effects in elastic-plastic functionally graded materials

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