Prediction of the Effective Mechanical Properties of Regular and Random Fibrous Materials Based on the Mechanics of Generalized Continua

Ganghoffer, Jean‐François; Goda, Ibrahim; Elnady, K.; Rahali, Yosra

doi:10.1007/978-3-030-23846-9_2

Cited by 2 publications

(2 citation statements)

References 28 publications

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“…The importance of the micro-polar effect of the girder model may be estimated by the internal bending length l b , given by the square root of the ratio between the longitudinal fibre bending modulus and its axial stiffness [54]. Assuming that couple stresses generating the micro-polar or secondary bending moment are uniformly distributed on the cross sections, the bending modulus¯ p of the longitudinal fibres of the continuum medium may be evaluated as¯…”

Section: The Micro-polar Modelmentioning

confidence: 99%

Self-moments stiffening effect and buckling strength of periodic Vierendeel beams

Penta

2020

Acta Mech

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This paper deals with the buckling phenomenon of periodic Vierendeel beams. Closed-form solutions for critical loads and deformed shapes are presented. They are built by exploiting several auxiliary solutions obtained for the discrete periodic girder and for a geometrically nonlinear micro-polar equivalent model. In particular, the girder when subjected to sinusoidal self-equilibrated systems of inner bending moments (self-moments) is analysed. The corresponding results are used for solving the large-deflection equilibrium problem of the continuous equivalent model by means of the eigenfunction expansion technique. Girder buckling conditions are then defined in terms of kinematics of the micro-polar model: more precisely, they are attained when special distributions of self-moments, able to bend the continuous system without violating compatibility of shear strains, act in the girder. It is shown that these systems, neglected in the theories presented so far, have a significant stiffening effect on the buckling girder behaviour. Moreover, they are governed by the continuity equation for micro-rotations that is solved in closed form by the Galerkin method, with the micro-polar model eigenfunctions as basis functions. The accuracy of the proposed solutions is verified by comparing them with those achieved by a series of finite element girder models.

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Section: The Micro-polar Modelmentioning

confidence: 99%

Self-moments stiffening effect and buckling strength of periodic Vierendeel beams

Penta

2020

Acta Mech

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“…Build orientation, layer thickness, and feed rate are discussed on 3D-printed PLA samples in [48], and layer thickness and raster angle parameters for PLA and ABS in [49]. In order to model the mechanical response of additive manufactured polymers [50][51][52], well-known homogenization techniques are used in composite materials [53], for example by using a variation of carbon-fiber content in thermoplastic matrix-based composites built by the FDM [54] and also for identifying substructure-related anisotropic properties [55] to be used in computations [56,57].…”

Section: Introductionmentioning

confidence: 99%

Optimization of Manufacturing Parameters and Tensile Specimen Geometry for Fused Deposition Modeling (FDM) 3D-Printed PETG

et al. 2021

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Additive manufacturing provides high design flexibility, but its use is restricted by limited mechanical properties compared to conventional production methods. As technology is still emerging, several approaches exist in the literature for quantifying and improving mechanical properties. In this study, we investigate characterizing materials’ response of additive manufactured structures, specifically by fused deposition modeling (FDM). A comparative analysis is achieved for four different tensile test specimens for polymers based on ASTM D3039 and ISO 527-2 standards. Comparison of specimen geometries is studied with the aid of computations based on the Finite Element Method (FEM). Uniaxial tensile tests are carried out, after a careful examination of different slicing approaches for 3D printing. We emphasize the effects of the chosen slicer parameters on the position of failures in the specimens and propose a simple formalism for measuring effective mechanical properties of 3D-printed structures.

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Prediction of the Effective Mechanical Properties of Regular and Random Fibrous Materials Based on the Mechanics of Generalized Continua

Cited by 2 publications

References 28 publications

Self-moments stiffening effect and buckling strength of periodic Vierendeel beams

Self-moments stiffening effect and buckling strength of periodic Vierendeel beams

Optimization of Manufacturing Parameters and Tensile Specimen Geometry for Fused Deposition Modeling (FDM) 3D-Printed PETG

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