Mechanics of Composite Plates

Birman, Victor

doi:10.1007/978-94-007-1715-2_5

Cited by 2 publications

(1 citation statement)

References 42 publications

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“…As the load increases, the stresses at all points in the plate will increase in the same proportion, and collapse can occur due to loss of strength (Birman, 2011;El-sawy;Nazmy;Martini, 2004).…”

Section: Introductionmentioning

confidence: 99%

Computational model verification and numerical analysis of plate buckling due to combined loading

Baumgardt,

Real,

Teixeira

et al. 2023

CeN

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Thin plates are structures widely used in different industries, due to their mechanical properties. They are often subjected to combined loading, which can cause an undesired phenomenon called buckling. In this sense, the present work analyzes the elasto-plastic buckling behavior of thin steel plates that are simply supported and subjected to in-plane uniaxial or biaxial compression combined with lateral pressure. To obtain the ultimate stress of the plates, a computational model was developed using the finite element method. Initially, the computational model was verified through previous numerical results from the literature. Then, a case study was carried out considering a rectangular plate geometry with an aspect ratio of b/a = 0.5 (where a and b are the length and width of the plate, respectively), under biaxial compression and varying the lateral loading from 0 to 0.152 MPa, aiming to analyze its elasto-plastic buckling behavior. The results indicated that the computational model was adequately verified. From the case study, it was inferred that the load step plays an important role in the numerical prediction accuracy of the elasto-plastic buckling mechanical behavior of plates In addition, the application of initial imperfection for small lateral pressures has little influence on ultimate stress, while for larger lateral pressures it does not generate influence.

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Section: Introductionmentioning

confidence: 99%

Computational model verification and numerical analysis of plate buckling due to combined loading

Baumgardt,

Real,

Teixeira

et al. 2023

CeN

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Buckling of orthotropic plates with bimoments

Корабоевич¹

2015

MCE

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Изгиб ортотропных пластин с учетом бимоментов К.ф.-м.н., старший научный сотрудник М.К. Усаров, Институт механики и сейсмостойкости сооружений Академии Наук Республики Узбекистан Аннотация. Статья посвящена усовершенствованию теории пластин с целью учета сил, моментов и бимоментов, порождаемых за счет нелинейного закона распределения перемещений в поперечном сечении пластины. Приведены интегральные соотношения для определения сил, моментов и бимоментов. Разработанная бимоментная теория пластины описывается двумя несвязанными двумерными системами по девять в каждой системе уравнений. На каждом краю пластины в зависимости от вида закрепления задаются по девять граничных условий. Методика построения бимоментной теории основана на законе Гука, трехмерных уравнениях теории упругости и методе разложения перемещений в ряд Маклорена. В качестве примера приведено решение задачи изгиба толстой ортотропной пластины под действием поперечной синусоидальной нагрузки. Получены численные результаты перемещений, сил, моментов, бимоментов и напряжений, сопровождаемые анализом.

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Mechanics of Composite Plates

Cited by 2 publications

References 42 publications

Computational model verification and numerical analysis of plate buckling due to combined loading

Computational model verification and numerical analysis of plate buckling due to combined loading

Buckling of orthotropic plates with bimoments

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