Buckling analysis of two-directionally porous beam

Tang, Haishan; Li, Li; Hu, Yujin

doi:10.1016/j.ast.2018.04.045

Cited by 63 publications

(17 citation statements)

References 53 publications

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“…Due to inevitable variations in the manufacturing processes, the presence of some porosity in nanobeams is unavoidable. Inclusion of this imperfection into mechanical analysis of the piezomagnetic-flexomagnetic nano-sized beam is performed as [62]…”

Section: The Piezo-flexomagnetic Beam Modelmentioning

confidence: 99%

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Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

2020

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We investigated the stability of an axially loaded Euler–Bernoulli porous nanobeam considering the flexomagnetic material properties. The flexomagneticity relates to the magnetization with strain gradients. Here we assume both piezomagnetic and flexomagnetic phenomena are coupled simultaneously with elastic relations in an inverse magnetization. Similar to flexoelectricity, the flexomagneticity is a size-dependent property. Therefore, its effect is more pronounced at small scales. We merge the stability equation with a nonlocal model of the strain gradient elasticity. The Navier sinusoidal transverse deflection is employed to attain the critical buckling load. Furthermore, different types of axial symmetric and asymmetric porosity distributions are studied. It was revealed that regardless of the high magnetic field, one can realize the flexomagnetic effect at a small scale. We demonstrate as well that for the larger thicknesses a difference between responses of piezomagnetic and piezo-flexomagnetic nanobeams would not be significant.

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Section: The Piezo-flexomagnetic Beam Modelmentioning

confidence: 99%

“…where α denotes the porosity coefficient. Axial porosities are defined mathematically and analytically in Table 1 [62]. Table 1.…”

Section: The Piezo-flexomagnetic Beam Modelmentioning

confidence: 99%

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

2020

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“…Generally, there are three main methods to compute the buckling loads or enhance one structure’s buckling resistance ability, i.e., analytical methods, numerical methods, and test methods. The premise of utilizing analytical methods is that the structure’s geometry is relatively simple, for example, rods, beams, and shells [ 2 ]. Test methods generally involve expensive costs, so relatively few experimental tests are conducted, which are often employed to validate analytical methods and numerical methods [ 3 ].…”

Section: Introductionmentioning

confidence: 99%

CFRP Origami Metamaterial with Tunable Buckling Loads: A Numerical Study

et al. 2021

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Origami has played an increasingly central role in designing a broad range of novel structures due to its simple concept and its lightweight and extraordinary mechanical properties. Nonetheless, most of the research focuses on mechanical responses by using homogeneous materials and limited studies involving buckling loads. In this study, we have designed a carbon fiber reinforced plastic (CFRP) origami metamaterial based on the classical Miura sheet and composite material. The finite element (FE) modelling process’s accuracy is first proved by utilizing a CFRP plate that has an analytical solution of the buckling load. Based on the validated FE modelling process, we then thoroughly study the buckling resistance ability of the proposed CFRP origami metamaterial numerically by varying the folding angle, layer order, and material properties, finding that the buckling loads can be tuned to as large as approximately 2.5 times for mode 5 by altering the folding angle from 10° to 130°. With the identical rate of increase, the shear modulus has a more significant influence on the buckling load than Young’s modulus. Outcomes reported reveal that tunable buckling loads can be achieved in two ways, i.e., origami technique and the CFRP material with fruitful design freedoms. This study provides an easy way of merely adjusting and controlling the buckling load of lightweight structures for practical engineering.

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“…In a more recent study, Tang. et al [35] evaluated the effect of different porosity distribution patterns on buckling behavior of two-directionally porous beams and concluded that the porosity distribution patterns significantly affect the critical buckling load. Another study [36] revealed that the lattice pore size also affects the buckling behavior of the lattice structure significantly.…”

Section: Introductionmentioning

confidence: 99%

“…Most of the prior work done on lattice structures has been focused on investigating the compressive properties [37,38,39] of various lattice shapes; however, a limited number of studies have been investigated the buckling behavior of a very few lattice morphologies. Moreover, buckling analyses of the samples having circular and elliptical holes/pores have been carried out [35,36,40,41,42,43,44]. However, the effect of unit cell morphology and size on the critical buckling load and post-buckling behavior has not been explored yet.…”

Section: Introductionmentioning

confidence: 99%

Buckling and Post-Buckling Behavior of Uniform and Variable-Density Lattice Columns Fabricated Using Additive Manufacturing

2019

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Lattice structures are known for their high strength-to-weight ratio, multiple functionalities, lightweight, stiffness, and energy absorption capabilities and potential applications in aerospace, automobile, and biomedical industry. To reveal the buckling (global and local) and post-buckling behavior of different lattice morphologies, both experimental and simulation-based studies were carried out. Additionally, a variable-density lattice structure was designed and analyzed to achieve the optimal value of critical buckling load. Latticed columns were fabricated using polyamide 12 material on multi jet fusion 3D printer. The results exhibited that the buckling in lattice columns depends on the distribution of mass, second moment of inertia I, diameter and position of vertical beams, number of horizontal or inclined beams, and location and angle of the beams that support the vertical beams. The number of horizontal and inclined beams and their thickness has an inverse relation with buckling; however, this trend changes after approaching a critical point. It is revealed that vertical beams are more crucial for buckling case, when compared with horizontal or inclined beams; however, material distribution in inclined or horizontal orientation is also critical because they provide support to vertical beams to behave as a single body to bear the buckling load. The results also revealed that the critical buckling load could be increased by designing variable density cellular columns in which the beams at the outer edges of the column are thicker compared with inner beams. However, post-buckling behavior of variable density structures is brittle and local when compared with uniform density lattice structures.

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Buckling analysis of two-directionally porous beam

Cited by 63 publications

References 53 publications

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

Effect of Axial Porosities on Flexomagnetic Response of In-Plane Compressed Piezomagnetic Nanobeams

CFRP Origami Metamaterial with Tunable Buckling Loads: A Numerical Study

Buckling and Post-Buckling Behavior of Uniform and Variable-Density Lattice Columns Fabricated Using Additive Manufacturing

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