A micromechanical model for the analysis of unidirectional elastoplastic composites subjected to 3d stresses

Carvelli, Valter; Taliercio, Alberto

doi:10.1016/s0093-6413(99)00061-0

Cited by 33 publications

(27 citation statements)

References 3 publications

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“…By applying the 3D PBC, the above mentioned six independent unit load cases are solved. Later, by the application of the volume averaging technique [1,5,24], the homogenized elastic constants of the unit cell are estimated (Table 4). Finally, the elastic constants computed using different boundary conditions are compared to the analytical (method of inclusions [25]) and with the experimental elastic constants ( Table 4).…”

Section: Homogenization Of the Elastic Constantsmentioning

confidence: 99%

Local damage in a 5-harness satin weave composite under static tension: Part II – Meso-FE modelling

Daggumati

Paepegem

Degrieck

et al. 2010

Composites Science and Technology

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This study forms the second part of a paper on the local damage analysis in a thermoplastic 5-harness satin weave composite under uni-axial static tensile load. The experimental observations of Part I are confronted with the meso-FE simulations. Part II describes the following steps regarding the unit cell meso-FE modeling starting from: 1) Construction of the unit cell geometrical model; 2) Estimation of the homogenized elastic constants of the unit cell using different boundary conditions; 3) Evaluation of the local stress and damage behavior of the unit cell using meso-FE simulations. The aim of the numerical analysis is to investigate the dependency of local ply stress and damage profiles on the adjacent layers of the laminate.

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Section: Homogenization Of the Elastic Constantsmentioning

confidence: 99%

Local damage in a 5-harness satin weave composite under static tension: Part II – Meso-FE modelling

Daggumati

Paepegem

Degrieck

et al. 2010

Composites Science and Technology

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“…Examples for such micromechanical investigations are those of Boyd and Lagoudas [1994], Kawai et al [1999], Carvelli and Taliercio [1999], Song et al [1999], Kawai [2000], Gilat and Aboudi [2004] and Marfia [2005]. When thermal effects in these investigations are involved, they are treated as in thermal stress problems where a prescribed constant temperature is imposed throughout the composite.…”

Section: Introductionmentioning

confidence: 99%

Two-way thermomechanically coupled micromechanical analysis of shape memory alloy composites

Aboudi

Freed

2006

JOMMS

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A previously established micromechanical model whose capability to analyze and predict the behavior of thermoinelastic fibrous composites with one-way thermomechanical coupling, in which the temperature is prescribed in advance, was verified. This model is extended herein to incorporate two-way thermomechanical coupling effects in thermoinelastic composites. As a result of this generalization, the temperature which is coupled to the mechanical effects, is governed by the energy equation and is induced into the composite's constituents as a result of the application of mechanical loadings. The model is applied to predict the behavior of composites that consist of shape memory alloy fibers embedded in metallic and polymeric matrices. Results exhibit the response of the composites to various types of loading, and the effect of the two-way thermomechanical coupling that induces temperature deviations from reference temperatures at which shape memory and pseudoelasticity effects take place at the fibers.

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“…More considerations must be developed in order to obtain the boundary conditions for half of the UC in the first approach: they are derived in Appendix 1 for the hexagonal distributions of heterogeneities in a way similar to Taliercio and Coruzzi [27] and Carvelli and Taliercio [7]. In addition, the linearly independent boundary conditions are provided in Appendix 2.…”

Section: First Approachmentioning

confidence: 99%

“…For instance, a hexagonal distribution of continuous fibres perfectly bonded to a non-linear matrix has been analysed with FEM by Taliercio and Coruzzi [27] for the plane analysis of the composite transverse behaviour and by Carvelli and Taliercio [7] and Bolzon et al [4] for the three-dimensional analysis. Debonding of the constituents in a hexagonal distribution of continuous fibres has been studied with FEM by Yeh [30] (transverse analysis).…”

Section: Introductionmentioning

confidence: 99%

Micromechanical analysis of periodic composites by prescribing the average stress

Caporale

2010

Ann. Solid Struct. Mech.

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A new method for the micromechanical finite element analysis of unidirectional composites is presented. The method is especially effective in time-dependent analyses, as those involving viscoplasticity and viscoelasticity. The microstructure of the composites under consideration is characterized by periodicity and central symmetry, which allow analysing half of a unit cell for solving the micromechanical problem. Half of the unit cell contains only half of the continuous fibre and this makes the numerical analyses inexpensive in terms of computer memory usage and processing time. New boundary conditions are presented in order to prescribe the average stress on half of the unit cell of hexagonal and rectangular distributions of heterogeneities in the case of static analysis. Then, the new boundary conditions are used to prescribe the precise rate of the average stress in time-dependent analyses. With respect to other existing procedures, the proposed method is easy to adopt in commercial software and it does not require the modification of parts of the source code that are not usually accessible to the user. The proposed method is applied to the interesting case of composites with aligned long fibres imperfectly bonded to a viscoelastic matrix. The numerical simulations carried out in this work provide the loci of the average stress and strain corresponding to the initiation of the fibre-matrix debonding, which determines a considerable decay of the composite stiffness and strength. The influence of the geometrical properties of the microstructure is evaluated by analysing both hexagonal and rectangular distributions of fibres. The numerical results show how the inelastic behaviour of the matrix affects the loci corresponding to the initiation of the debonding.

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A micromechanical model for the analysis of unidirectional elastoplastic composites subjected to 3d stresses

Cited by 33 publications

References 3 publications

Local damage in a 5-harness satin weave composite under static tension: Part II – Meso-FE modelling

Local damage in a 5-harness satin weave composite under static tension: Part II – Meso-FE modelling

Two-way thermomechanically coupled micromechanical analysis of shape memory alloy composites

Micromechanical analysis of periodic composites by prescribing the average stress

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