Surya Dev Singh, Aniket Gopa Chanda, Quaiyum M. Ansari
{"title":"利用基于正割函数的非多项式之字形理论对 CNT 加固夹层板进行弯曲分析","authors":"Surya Dev Singh, Aniket Gopa Chanda, Quaiyum M. Ansari","doi":"10.1007/s00419-024-02703-5","DOIUrl":null,"url":null,"abstract":"<div><p>This study presents a comprehensive bending analysis of carbon nanotube-reinforced (CNTR) sandwich plates with varying stacking sequences, utilizing a non-polynomial zigzag theory based on the secant function. The secant function implicitly accommodates higher-order bending deformation with lesser computational costs and encompassing the cross-sectional warping. Principle of virtual work in conjunction with Navier’s solution methodology is used to develop the governing differential equation for the plate and to propose the solution of the system of equation, respectively. The analysis considers transverse deflection, normal stresses, in-plane shear stress, and transverse shear stresses to capture the complex behavior of CNTR sandwich composite plate structures. Different parametric studies are performed, exploring the effects of various reinforcement distributions of carbon nanotubes (CNTs) within the CNTR sandwich plate face sheet layers mainly, UD and FG. The superimposition of non-polynomial shear deformation theory based on secant function with zigzag functions provides accurate and efficient solutions, addressing the intricate stress distribution and deformation characteristics of CNTR sandwich plate. The findings offer valuable insights for the optimal design and application of CNTR sandwich plates in engineering fields, ensuring enhanced performance and structural integrity.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"94 12","pages":"3943 - 3964"},"PeriodicalIF":2.2000,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bending analysis of CNT-reinforced sandwich plates using non-polynomial zigzag theory based on secant function\",\"authors\":\"Surya Dev Singh, Aniket Gopa Chanda, Quaiyum M. Ansari\",\"doi\":\"10.1007/s00419-024-02703-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This study presents a comprehensive bending analysis of carbon nanotube-reinforced (CNTR) sandwich plates with varying stacking sequences, utilizing a non-polynomial zigzag theory based on the secant function. The secant function implicitly accommodates higher-order bending deformation with lesser computational costs and encompassing the cross-sectional warping. Principle of virtual work in conjunction with Navier’s solution methodology is used to develop the governing differential equation for the plate and to propose the solution of the system of equation, respectively. The analysis considers transverse deflection, normal stresses, in-plane shear stress, and transverse shear stresses to capture the complex behavior of CNTR sandwich composite plate structures. Different parametric studies are performed, exploring the effects of various reinforcement distributions of carbon nanotubes (CNTs) within the CNTR sandwich plate face sheet layers mainly, UD and FG. The superimposition of non-polynomial shear deformation theory based on secant function with zigzag functions provides accurate and efficient solutions, addressing the intricate stress distribution and deformation characteristics of CNTR sandwich plate. The findings offer valuable insights for the optimal design and application of CNTR sandwich plates in engineering fields, ensuring enhanced performance and structural integrity.</p></div>\",\"PeriodicalId\":477,\"journal\":{\"name\":\"Archive of Applied Mechanics\",\"volume\":\"94 12\",\"pages\":\"3943 - 3964\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-09-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive of Applied Mechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00419-024-02703-5\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive of Applied Mechanics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00419-024-02703-5","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
Bending analysis of CNT-reinforced sandwich plates using non-polynomial zigzag theory based on secant function
This study presents a comprehensive bending analysis of carbon nanotube-reinforced (CNTR) sandwich plates with varying stacking sequences, utilizing a non-polynomial zigzag theory based on the secant function. The secant function implicitly accommodates higher-order bending deformation with lesser computational costs and encompassing the cross-sectional warping. Principle of virtual work in conjunction with Navier’s solution methodology is used to develop the governing differential equation for the plate and to propose the solution of the system of equation, respectively. The analysis considers transverse deflection, normal stresses, in-plane shear stress, and transverse shear stresses to capture the complex behavior of CNTR sandwich composite plate structures. Different parametric studies are performed, exploring the effects of various reinforcement distributions of carbon nanotubes (CNTs) within the CNTR sandwich plate face sheet layers mainly, UD and FG. The superimposition of non-polynomial shear deformation theory based on secant function with zigzag functions provides accurate and efficient solutions, addressing the intricate stress distribution and deformation characteristics of CNTR sandwich plate. The findings offer valuable insights for the optimal design and application of CNTR sandwich plates in engineering fields, ensuring enhanced performance and structural integrity.
期刊介绍:
Archive of Applied Mechanics serves as a platform to communicate original research of scholarly value in all branches of theoretical and applied mechanics, i.e., in solid and fluid mechanics, dynamics and vibrations. It focuses on continuum mechanics in general, structural mechanics, biomechanics, micro- and nano-mechanics as well as hydrodynamics. In particular, the following topics are emphasised: thermodynamics of materials, material modeling, multi-physics, mechanical properties of materials, homogenisation, phase transitions, fracture and damage mechanics, vibration, wave propagation experimental mechanics as well as machine learning techniques in the context of applied mechanics.