A review of Winkler's foundation and its profound influence on adhesion and soft matter applications

被引:109
作者
Dillard, David A. [1 ]
Mukherjee, Bikramjit [2 ]
Karnal, Preetika [3 ,4 ]
Batra, Romesh C. [1 ]
Frechette, Joelle [3 ,4 ]
机构
[1] Virginia Polytech Inst & State Univ, Biomed Engn & Mech Dept, Blacksburg, VA 24061 USA
[2] Dow Chem Co USA, Plast Characterizat & Testing R&D, Lake Jackson, TX 77566 USA
[3] Johns Hopkins Univ, Dept Chem & Biomol Engn, Baltimore, MD 21218 USA
[4] Johns Hopkins Univ, Hopkins Extreme Mat Inst, Baltimore, MD 21218 USA
关键词
CANTILEVER-BEAM SPECIMEN; STRESS DISTRIBUTIONS; ELASTIC-FOUNDATION; PEEL ADHESION; CRACK-GROWTH; THIN-FILM; INSTABILITY; CURVATURE; PLATES; MODEL;
D O I
10.1039/c7sm02062g
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Few advanced mechanics of materials solutions have found broader and more enduring applications than Emil Winkler's beam on elastic foundation analysis, first published in 1867. Now, 150 years after its introduction, this concept continues to enjoy widespread use in its original application field of civil engineering, and has also had a profound effect on the field of adhesion mechanics, including for soft matter adhesion phenomena. A review of the model is presented with a focus on applications to adhesion science, highlighting classical works that utilize the model as well as recent usages that extend its scope. The special case of the behavior of plates on incompressible (e.g., elastomeric and viscous liquid) foundations is reviewed because of the significant relevance to the behavior of soft matter interlayers between one or more flexible adherends.
引用
收藏
页码:3669 / 3683
页数:15
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