A truly generalized plane strain meshless method for combined normal and shear loading of fibrous composites

Ahmadi, Isa; Aghdam, M.M.

doi:10.1016/j.enganabound.2010.09.010

Cited by 10 publications

(4 citation statements)

References 19 publications

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“… SMA: shape memory alloy. a Freed and Aboudi (2009). b Panico and Brinson (2007). c Gilat and Aboudi (2004). d Ahmadi and Aghdam (2011). …”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…In order to validate the accuracy of the current solution, the present micromechanical results are compared with those available in the literature for monolithic SMA, aluminum, and SMA fiber–reinforced aluminum matrix composite (Gilat and Aboudi, 2004) denoted by SMA/Al II and conventional E-glass/epoxy composite (Ahmadi and Aghdam, 2011). The material properties of these composites are presented in Table 1.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…As another comparative study, the elastic stiffness coefficients of E-glass/epoxy composite computed by the present micromechanical analysis are listed in Table 2 and compared with predictions of the truly meshless method (TMM) developed by Ahmadi and Aghdam (2011). The stiffness coefficients are extracted by applying uniaxial mechanical loading on the RVE as…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Micromechanics of shape memory alloy fiber–reinforced composites subjected to multi-axial non-proportional loadings

Damanpack

Aghdam

Shakeri

2014

Journal of Intelligent Material Systems and Structures

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In this article, micromechanical behavior of metal matrix reinforced with shape memory alloy fibers under combined thermo-mechanical loadings is investigated. A representative volume element consisting of circular/rectangular cross-sectional shape memory alloy fibers surrounded with aluminum matrix is considered to model micromechanical behavior of shape memory alloy composites. In order to simulate main features of shape memory alloy fibers, especially under multi-axial non-proportional loadings, Panico–Brinson constitutive model is employed. This model is able to predict martensite transformation, shape memory effect, pseudo-elasticity, and in particular reorientation of martensite variants which is responsible for non-proportional loadings. Furthermore, the response of aluminum matrix is assumed as a thermo-elastic-plastic material with linear kinematic work hardening. A finite element formulation containing incremental and iterative processes is developed to analyze the representative volume element in the state of generalized plane strain. Convergence, cost, and comparative studies are conducted to examine efficiency and accuracy of the developed solution. Then, a set of parametric study is directed to provide an insight into the influence of fiber volume fraction, fiber cross-sectional shape, pre-strain, and temperature on the micromechanical behavior of shape memory alloy composites subjected to multi-axial loadings. A significant coupling is observed between normal–normal/normal–shear/shear–shear strains during non-proportional multi-axial loadings which confirms the importance of simulation of martensite reorientation.

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“… SMA: shape memory alloy. a Freed and Aboudi (2009). b Panico and Brinson (2007). c Gilat and Aboudi (2004). d Ahmadi and Aghdam (2011). …”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Numerical Results and Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Micromechanics of shape memory alloy fiber–reinforced composites subjected to multi-axial non-proportional loadings

Damanpack

Aghdam

Shakeri

2014

Journal of Intelligent Material Systems and Structures

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show abstract

“…Then, the numerical implementation was concerned for improving the computational aspect of this method. A number of studies using different procedures, such as finite element method [11][12][13][14], boundary element method [15], mesh-free methods [16,17] were published. This study employs a mesh-free method based on the radial basis functions (RBF).…”

Section: Introductionmentioning

confidence: 99%

A computational homogenization analysis of materials using the stabilized mesh-free method based on the radial basis functions

Canh

Hung

2020

STCE

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This study presents a novel application of mesh-free method using the smoothed-radial basis functions for the computational homogenization analysis of materials. The displacement field corresponding to the scattered nodes within the representative volume element (RVE) is split into two parts including mean term and fluctuation term, and then the fluctuation one is approximated using the integrated radial basis function (iRBF) method. Due to the use of the stabilized conforming nodal integration (SCNI) technique, the strain rate is smoothed at discreted nodes; therefore, all constrains in resulting problems are enforced at nodes directly. Taking advantage of the shape function satisfies Kronecker-delta property, the periodic boundary conditions well-known as the most appropriate procedure for RVE are similarly imposed as in the finite element method. Several numerical examples are investigated to observe the computational aspect of iRBF procedure. The good agreement of the results in comparison with those reported in other studies demonstrates the accuracy and reliability of proposed approach. Keywords: homogenization analysis; mesh-free method; radial point interpolation method; SCNI scheme.

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Modeling of Material Deformation Responses Using Gradient Elasticity Theory

Sorić

Lesičar

Putar

et al. 2017

Multiscale Modeling of Heterogeneous Structures

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A truly generalized plane strain meshless method for combined normal and shear loading of fibrous composites

Cited by 10 publications

References 19 publications

Micromechanics of shape memory alloy fiber–reinforced composites subjected to multi-axial non-proportional loadings

Micromechanics of shape memory alloy fiber–reinforced composites subjected to multi-axial non-proportional loadings

A computational homogenization analysis of materials using the stabilized mesh-free method based on the radial basis functions

Modeling of Material Deformation Responses Using Gradient Elasticity Theory

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