Buckling and bending analysis of FGP nanoplates resting on Pasternak foundation considering non-local and surface effects simultaneously using pb2-Ritz method

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES Composite Structures Pub Date : 2025-02-16 DOI:10.1016/j.compstruct.2025.118971

Xuan-Trung Dang , Van-Long Nguyen , Minh-Tu Tran , Bich-Phuong Nguyen-Thi , Tien-Thinh Le

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引用次数: 0

Abstract

For nanoplate structures, due to the large surface-area-to-volume ratio, surface stress exhibits a great influence on the mechanical behavior of the structure. This paper develops a semi-analytical solution using the pb2-Ritz method for bending and buckling analysis of functionally graded porous nanoplates, considering simultaneously non-local and surface effects. The equilibrium equations for the nanoplate on the Pasternak elastic foundation according to Reddy’s third-order shear deformation theory are established based on the principle of minimum potential energy. The critical load in buckling analysis and deflection in the nanoplate subjected to bending are determined through semi-analytical solutions for different types of boundary conditions. The influence of the surface effect, non-local parameters, material parameters, elastic foundation and boundary conditions on the bending and buckling behaviors of the nanoplate is demonstrated through numerical examples. The numerical solutions and theoretical advances reported here provide important insights for surface energy and nonlocal theories of nanoplate structures.

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.