INCREMENTAL BOUNDARY VALUE PROBLEMS IN THE PRESENCE OF COUPLING OF ELASTIC AND PLASTIC DEFORMATIONS: A ROCK MECHANICS ORIENTED THEORY

In some elastoplastic systems (typically rocklike media) the elastic properties are affected by plastic yielding. This "coupling" phenomenon is dealt with in this paper in the context of the incremental theory of plasticity with nonassociated (lacking normality) flow laws. Some extremum properties and uniqueness conditions are given for solution of the rate problem. Stability conditions are established. The results achieved are equally applicable to media with nonassociative flow rules without coupling, with or without worksoftening, and are believed to be novel in this more traditional area. The results are cast into algebraic formulations for finite element models, in view of their practical applications. /Author/TRRL/

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00207683
• Corporate Authors:

  Pergamon Press, Incorporated

  Maxwell House, Fairview Park
  Elmsford, NY  United States  10523
• Authors:
  • Hueckel, T
  • Maier, G
• Publication Date: 1977-1

Language

• English

Media Info

• Features: Figures; References;
• Pagination: p. 1-15
• Serial:
  • INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
  • Volume: 13
  • Issue Number: 1
  • Publisher: Elsevier
  • ISSN: 0020-7683

Subject/Index Terms

• TRT Terms: Boundary value problems; Couplers; Deformation; Drilling; Elastic deformation; Finite element method; Mathematical models; Plastic deformation; Plasticity; Rock mechanics; Rocks; Stability (Mechanics); Tunnels
• Uncontrolled Terms: Models
• ITRD Terms: 5595: Deformation; 3871: Drilling; 6490: Finite element method; 6473: Mathematical model; 5922: Plasticity; 4154: Rock; 5757: Rock mechanics; 5930: Stability; 3374: Tunnel
• Subject Areas: Bridges and other structures; Design; Geotechnology; Highways; I25: Design of Tunnels; I43: Rock Mechanics;

Filing Info

• Accession Number: 00153328
• Record Type: Publication
• Source Agency: Transport and Road Research Laboratory (TRRL)
• Report/Paper Numbers: Analytic
• Files: ITRD, TRIS
• Created Date: Sep 20 1977 12:00AM