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Modeling of surface mechanical behaviors of soft elastic solids: theory and examples.
Soft Matter. 2020 Jul 29; 16(29):6875-6889.SM

Abstract

Surfaces of soft solids can have significant surface stress, extensional modulus and bending stiffness. Previous theoretical studies have usually examined cases in which both the surface stress and bending stiffness are constant, assuming small deformation. In this work we consider a general formulation in which the surface can support large deformation and carry both surface stresses and surface bending moments. We demonstrate that the large deformation theory can be reduced to the classical linear theory (Shuttleworth equation). We obtain exact solutions for problems of an inflated cylindrical shell and bending of a plate with a finite thickness. Our analysis illustrates the different manners in which surface stiffening and surface bending stabilize these structures. We discuss how the complex surface constitutive behaviors affect the stress field of the bulk. Our calculation provides insights into effects of strain-dependent surface stress and surface bending in the large deformation regime, and can be used as a model to implement surface finite elements to study large deformation of complex structures.

Authors+Show Affiliations

Department of Mechanical and Aerospace Engineering, Field of Theoretical and Applied Mechanics, Cornell University, 322 Kimball Hall, Ithaca, NY 14853, USA. ch45@cornell.edu.Departments of Bioengineering and of Chemical & Biomolecular Engineering, Lehigh University, 111 Research Drive, Bethlehem, PA 18015, USA.Department of Mechanical and Aerospace Engineering, Field of Theoretical and Applied Mechanics, Cornell University, 322 Kimball Hall, Ithaca, NY 14853, USA. ch45@cornell.edu.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

32642744

Citation

Liu, Zezhou, et al. "Modeling of Surface Mechanical Behaviors of Soft Elastic Solids: Theory and Examples." Soft Matter, vol. 16, no. 29, 2020, pp. 6875-6889.
Liu Z, Jagota A, Hui CY. Modeling of surface mechanical behaviors of soft elastic solids: theory and examples. Soft Matter. 2020;16(29):6875-6889.
Liu, Z., Jagota, A., & Hui, C. Y. (2020). Modeling of surface mechanical behaviors of soft elastic solids: theory and examples. Soft Matter, 16(29), 6875-6889. https://doi.org/10.1039/d0sm00556h
Liu Z, Jagota A, Hui CY. Modeling of Surface Mechanical Behaviors of Soft Elastic Solids: Theory and Examples. Soft Matter. 2020 Jul 29;16(29):6875-6889. PubMed PMID: 32642744.
* Article titles in AMA citation format should be in sentence-case
TY - JOUR T1 - Modeling of surface mechanical behaviors of soft elastic solids: theory and examples. AU - Liu,Zezhou, AU - Jagota,Anand, AU - Hui,Chung-Yuen, PY - 2020/7/10/pubmed PY - 2020/7/10/medline PY - 2020/7/10/entrez SP - 6875 EP - 6889 JF - Soft matter JO - Soft Matter VL - 16 IS - 29 N2 - Surfaces of soft solids can have significant surface stress, extensional modulus and bending stiffness. Previous theoretical studies have usually examined cases in which both the surface stress and bending stiffness are constant, assuming small deformation. In this work we consider a general formulation in which the surface can support large deformation and carry both surface stresses and surface bending moments. We demonstrate that the large deformation theory can be reduced to the classical linear theory (Shuttleworth equation). We obtain exact solutions for problems of an inflated cylindrical shell and bending of a plate with a finite thickness. Our analysis illustrates the different manners in which surface stiffening and surface bending stabilize these structures. We discuss how the complex surface constitutive behaviors affect the stress field of the bulk. Our calculation provides insights into effects of strain-dependent surface stress and surface bending in the large deformation regime, and can be used as a model to implement surface finite elements to study large deformation of complex structures. SN - 1744-6848 UR - https://www.unboundmedicine.com/medline/citation/32642744/Modeling_of_surface_mechanical_behaviors_of_soft_elastic_solids:_theory_and_examples L2 - https://doi.org/10.1039/d0sm00556h DB - PRIME DP - Unbound Medicine ER -
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