Deformation analysis of functionally graded beams by the direct approach

Bîrsan, Mircea; Altenbach, Holm; Sadowski, Tomasz; Eremeyev, Victor A.; Pietras, Daniel

doi:10.1016/j.compositesb.2011.09.003

Cited by 125 publications

(77 citation statements)

References 30 publications

(23 reference statements)

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“…by means of 3D-printing) makes it now possible to produce slender objects which display a richer behavior than what can be captured by Euler beam model (see e.g. [11][12][13] for interesting examples, [14][15][16] for cases in which dynamical/instability problems are addressed and [17][18][19][20] for an approach using asymptotic justification; a review of complex structures employing fibers that can be modeled as generalized beams is [21]). The original model from Timoshenko was established in a linear framework.…”

Section: Introductionmentioning

confidence: 99%

Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams

Battista

Corte

Isola

et al. 2018

Z. Angew. Math. Phys.

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In the present paper we study a natural nonlinear generalization of Timoshenko beam model and show that it can describe the homogenized deformation energy of a 1D continuum with a simple microstructure. We prove the well-posedness of the corresponding variational problem in case of a generic end load, discuss some regularity issues and evaluate the critical load. Moreover, we generalize the model so as to include an additional rotational spring in the microstructure. Finally, some numerical simulations are presented and discussed.

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Section: Introductionmentioning

confidence: 99%

Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams

Battista

Corte

Isola

et al. 2018

Z. Angew. Math. Phys.

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“…From the comparison of solutions (direct approach and three-dimensional approach) for non-homogeneous rods [43] we have found that the following constitutive coefficients should be taken zero:…”

Section: Structure Of the Constitutive Tensorsmentioning

confidence: 99%

“…-porosity effects in the mechanics of rods [40,41], using the theory of thermoelastic materials with voids [42]; -functionally graded materials in the mechanics of rods [43] or -electrical and magnetic fields, phase transitions, diffusion, and other coupled effects known in 3D continuum mechanics or in 2D shell theories.…”

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confidence: 99%

On a thermodynamic theory of rods with two temperature fields

2012

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“…One of the most important proposition are functionally graded materials, having specifically oriented gradation of mechanical properties, e.g. [1,[4][5][6][7]. Other types of internal structure are materials made of: (1) a sequence of different layers with various mechanical features, e.g.…”

Section: Introductionmentioning

confidence: 99%

Modelling and Experimental Testing of Hybrid Joints Made of: Aluminium Adherends, Adhesive Layers and Rivets for Aerospace Applications

Sadowski¹,

Golewski²

2017

Archives of Metallurgy and Materials

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The contemporary demands in different branches of engineering require application of new multi-component materials and structural systems. Appropriately chosen joining technology can offer significant enhancement of structural system performance in terms of effectiveness, reliability, safety and other design criteria. The modern applications of complex joints are of great technological interest as they permit to combine and to enhance the individual effects of each kind of joint. This is of great importance for modern applications in different branches of engineering: aerospace, mechanical and civil.Therefore in this paper we will focus on the analysis of mechanical response of adhesive joint of aluminium strips reinforced by rivets.The aim of the paper is to investigate experimentally the mechanical behaviour of adhesive joint of aluminium strips reinforced by rivets for industrial applications in aerospace. The considered joint was subjected to uniaxial loading. The tests in this paper were performed for:• classical adhesive joint in order to investigate material parameters for numerical modelling of the hybrid joint • hybrid joining of the structural elements in order to investigate the reinforcement effect.The experiments with application of digital image ARAMIS system allowed for on-line monitoring of the deformation process of the considered joining elements. The particular distributions of displacement fields at the joint surface were estimated for any stage of loading process.Numerical modelling was performed for experimentally investigated specimens. The materials parameters, necessary for calculation, were estimated from experiments. FEA modelling was done with the help of ABAQUS code.

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Deformation analysis of functionally graded beams by the direct approach

Cited by 125 publications

References 30 publications

Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams

Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams

On a thermodynamic theory of rods with two temperature fields

Modelling and Experimental Testing of Hybrid Joints Made of: Aluminium Adherends, Adhesive Layers and Rivets for Aerospace Applications

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