Table of contents

  1. Front Matter
    Pages i-xxv
  2. Nanoindentation for Length Scales

    1. Front Matter
      Pages 1-1
    2. George Z. Voyiadjis, Cheng Zhang
      Pages 3-38
    3. George Z. Voyiadjis, Mohammadreza Yaghoobi
      Pages 39-76
    4. L. Liu, Xi Chen, N. Ogasawara, N. Chiba
      Pages 211-240
    5. Youlong Chen, Yilun Liu, Xi Chen
      Pages 241-287
    6. George Z. Voyiadjis, Leila Malekmotiei, Aref Samadi-Dooki
      Pages 315-332
    7. George Z. Voyiadjis, Leila Malekmotiei, Aref Samadi-Dooki
      Pages 333-359
    8. Devendra Verma, Chandra Prakash, Vikas Tomar
      Pages 361-376
    9. George Z. Voyiadjis, Aref Samadi-Dooki
      Pages 377-399
    10. Baoxing Xu, Xi Chen, Zhufeng Yue
      Pages 401-431
  3. Micromorphic and Cosserat in Gradient Plasticity for Instabilities in Materials and Structures

    1. Front Matter
      Pages 497-497
    2. J. R. Mayeur, D. L. McDowell, Samuel Forest
      Pages 595-642
    3. Samuel Forest, J. R. Mayeur, D. L. McDowell
      Pages 643-686
    4. Ioannis Stefanou, Jean Sulem, Hadrien Rattez
      Pages 687-711
    5. Angela Madeo, Patrizio Neff
      Pages 713-739
  4. Mathematical Methods in Nonlocal Continuum Mechanics

    1. Front Matter
      Pages 741-741
    2. Wojciech Sumelka, Tomasz Łodygowski
      Pages 743-780
    3. K. A. Lazopoulos, A. K. Lazopoulos
      Pages 851-904
    4. Martin Ostoja-Starzewski, Jun Li, Paul N. Demmie
      Pages 905-935
  5. Computational Modeling for Gradient Plasticity in Both Temporal and Spatial Scales

    1. Front Matter
      Pages 937-937
    2. George Z. Voyiadjis, Babür Deliktaş
      Pages 939-969
    3. Giovanni Lancioni, Tuncay Yalçinkaya
      Pages 971-999
    4. İzzet Özdemir, Tuncay Yalçinkaya
      Pages 1035-1063
    5. Ferhun C. Caner, Valentín de Carlos Blasco, Mercè Ginjaume Egido
      Pages 1065-1097
    6. Babür Deliktaş, Ismail Cem Turtuk, George Z. Voyiadjis
      Pages 1099-1122
    7. Ömer Civalek, Bekir Akgöz
      Pages 1123-1139
    8. Ömer Civalek, Bekir Akgöz, Babür Deliktaş
      Pages 1141-1155
  6. Peridynamics

    1. Front Matter
      Pages 1157-1157
    2. S. A. Silling
      Pages 1159-1196
    3. Marta D’Elia, Qiang Du, Max Gunzburger
      Pages 1197-1222
    4. Marta D’Elia, Pavel Bochev, David J. Littlewood, Mauro Perego
      Pages 1223-1241
    5. Mikil D. Foss, Petronela Radu
      Pages 1243-1263
    6. Robert Lipton, Eyad Said, Prashant K. Jha
      Pages 1265-1291
    7. Burak Aksoylu, Fatih Celiker, Orsan Kilicer
      Pages 1293-1330
    8. Ziguang Chen, Sina Niazi, Guanfeng Zhang, Florin Bobaru
      Pages 1353-1387

About this book


This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and engineers in industry concerned with nonlocal continuum mechanics for materials and structures as well as a supplement for graduate courses on a range of topics.


Brittle failure Continuum mechanics Crack propagation and fracture Fractional calculus Gradient theory of crystal plasticity Gradient theory of phase transition Micro-scale heat transfer Nonlocal continuum mechanics Nonlocal formulation of material damage Nonlocal formulation of plasticity (strain localization) Quasi-brittle materials under extreme conditions Size effect in plastic deformation Theory of multi-phase flow

Editors and affiliations

  • George Z. Voyiadjis
    • 1
  1. 1.Department of Civil and Environmental EngineeringLouisiana State UniversityBaton RougeUSA

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