Repository logo
  • English
  • 中文
Log In
Have you forgotten your password?
  1. Home
  2. College of Engineering / 工學院
  3. Civil Engineering / 土木工程學系
  4. On Behavior of Perfect Elastoplasticity under Rectilinear Paths
 
  • Details

On Behavior of Perfect Elastoplasticity under Rectilinear Paths

Resource
International Journal of Solids and Structures, Vol.35, pp.3539-3571
Journal
International Journal of Solids and Structures
Journal Volume
Vol.35
Pages
3539-3571
Date Issued
1998
Date
1998
Author(s)
Hong, H.-K.
URI
http://ntur.lib.ntu.edu.tw//handle/246246/133882
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0032157013&doi=10.1016%2fs0020-7683%2897%2900232-1&partnerID=40&md5=16a5831e7247365506450126a78a75f2
Abstract
A perfect elastoplastic model for the relation of generalized stresses and their conjugate generalized strain rates is investigated in the paper. The exact solutions are solved for the model subjected to rectilinear generalized strain paths,1 and the concepts of response subspace and visualization are introduced such that the n-dimensional problem is reduced to a two-dimensional problem in the response subspace. The response path is found to be, geometrically speaking, a geodesic in the n-dimensional closed ball double-struck B sign″ of generalized stresses. The phase portrait of dissipation is studied and it is a remarkable fact that in the response subspace the coordinate x is exactly the dissipation power per unit generalized strain rate when x ≥ xon [see eqn (63)]. The generalized stress-strain curves are classified by geometrical shapes into ten types, in contrast to the superficial impression of only one type of shape, an inclined straight line followed by a horizontal line. The existence of a limit strength vector and a limit power of dissipation is demonstrated by the long-term behavior based on the exact solutions, and the existence together with the response's stability is further verified by Lyapunov's direct method. The closeness to the limit strength point is also estimated and the exact formula accounted for prestress is derived. The dependence of the responses on the product space of initial values, input paths, property constants and closeness to the limit is thoroughly investigated with control parameters identified. © 1998 Elsevier Science Ltd. All rights reserved.
Other Subjects
Boundary value problems; Lyapunov methods; Mathematical models; Stability; Strain rate; Stresses; Vectors; Residual strength; Stress strain curve; Elastoplasticity
Type
journal article

臺大位居世界頂尖大學之列,為永久珍藏及向國際展現本校豐碩的研究成果及學術能量,圖書館整合機構典藏(NTUR)與學術庫(AH)不同功能平台,成為臺大學術典藏NTU scholars。期能整合研究能量、促進交流合作、保存學術產出、推廣研究成果。

To permanently archive and promote researcher profiles and scholarly works, Library integrates the services of “NTU Repository” with “Academic Hub” to form NTU Scholars.

總館學科館員 (Main Library)
醫學圖書館學科館員 (Medical Library)
社會科學院辜振甫紀念圖書館學科館員 (Social Sciences Library)

開放取用是從使用者角度提升資訊取用性的社會運動,應用在學術研究上是透過將研究著作公開供使用者自由取閱,以促進學術傳播及因應期刊訂購費用逐年攀升。同時可加速研究發展、提升研究影響力,NTU Scholars即為本校的開放取用典藏(OA Archive)平台。(點選深入了解OA)

  • 請確認所上傳的全文是原創的內容,若該文件包含部分內容的版權非匯入者所有,或由第三方贊助與合作完成,請確認該版權所有者及第三方同意提供此授權。
    Please represent that the submission is your original work, and that you have the right to grant the rights to upload.
  • 若欲上傳已出版的全文電子檔,可使用Open policy finder網站查詢,以確認出版單位之版權政策。
    Please use Open policy finder to find a summary of permissions that are normally given as part of each publisher's copyright transfer agreement.
  • 網站簡介 (Quickstart Guide)
  • 使用手冊 (Instruction Manual)
  • 線上預約服務 (Booking Service)
  • 方案一:臺灣大學計算機中心帳號登入
    (With C&INC Email Account)
  • 方案二:ORCID帳號登入 (With ORCID)
  • 方案一:定期更新ORCID者,以ID匯入 (Search for identifier (ORCID))
  • 方案二:自行建檔 (Default mode Submission)
  • 方案三:學科館員協助匯入 (Email worklist to subject librarians)

Built with DSpace-CRIS software - Extension maintained and optimized by 4Science