Deformation of corrugated hydrogel panel subject to chemo-mechanical coupled loading
•Chemically coupled Young’s modulus and Poisson’s ratio are theoretically formulated for polymeric hydrogels.•Elastic constants coupling chemical influences may provide comprehensive guide for analysis and design of soft structures.•Exact bending solution is derived for corrugated hydrogel panels in...
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| Published in | International journal of solids and structures Vol. 276; p. 112326 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.08.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0020-7683 |
| DOI | 10.1016/j.ijsolstr.2023.112326 |
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| Abstract | •Chemically coupled Young’s modulus and Poisson’s ratio are theoretically formulated for polymeric hydrogels.•Elastic constants coupling chemical influences may provide comprehensive guide for analysis and design of soft structures.•Exact bending solution is derived for corrugated hydrogel panels in the framework of symplectic elasticity.•A theoretical platform is presented to simulate deformation of soft plate and shell subject to chemo-mechanical stimuli.
In this paper, a novel plate theory is proposed for corrugated soft panels with a chemically coupled constitutive model of hydrogel, which is formulated via perturbation analysis on the physically based constitutive theory. Here, the elastic moduli naturally incorporate the chemical effects that could reduce to the classical linear Hookean law or second-order Murnaghan model. As a result, the resultant constitutive model is concise in form and comprehensive in physical integrity, where no further coupling is required between the deformation of solid and diffusion of fluid. Applying the symplectic elasticity method, the exact bending solution is then derived for corrugated hydrogel panels with two opposite sided clamped. The main effects of chemical potential, Flory parameter, and geometric factors on the equivalent stiffnesses and transverse deflections are investigated in detail. Some new results could be used as a reference for the designing of flexible and wearable devices. |
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| AbstractList | •Chemically coupled Young’s modulus and Poisson’s ratio are theoretically formulated for polymeric hydrogels.•Elastic constants coupling chemical influences may provide comprehensive guide for analysis and design of soft structures.•Exact bending solution is derived for corrugated hydrogel panels in the framework of symplectic elasticity.•A theoretical platform is presented to simulate deformation of soft plate and shell subject to chemo-mechanical stimuli.
In this paper, a novel plate theory is proposed for corrugated soft panels with a chemically coupled constitutive model of hydrogel, which is formulated via perturbation analysis on the physically based constitutive theory. Here, the elastic moduli naturally incorporate the chemical effects that could reduce to the classical linear Hookean law or second-order Murnaghan model. As a result, the resultant constitutive model is concise in form and comprehensive in physical integrity, where no further coupling is required between the deformation of solid and diffusion of fluid. Applying the symplectic elasticity method, the exact bending solution is then derived for corrugated hydrogel panels with two opposite sided clamped. The main effects of chemical potential, Flory parameter, and geometric factors on the equivalent stiffnesses and transverse deflections are investigated in detail. Some new results could be used as a reference for the designing of flexible and wearable devices. |
| ArticleNumber | 112326 |
| Author | Wu, Tao Wang, Yichuan Deng, Zichen Xu, Chenghui |
| Author_xml | – sequence: 1 givenname: Chenghui surname: Xu fullname: Xu, Chenghui organization: School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China – sequence: 2 givenname: Yichuan surname: Wang fullname: Wang, Yichuan organization: School of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China – sequence: 3 givenname: Zichen surname: Deng fullname: Deng, Zichen organization: School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China – sequence: 4 givenname: Tao surname: Wu fullname: Wu, Tao email: wut@nwpu.edu.cn organization: School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China |
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| Keywords | Chemically coupled moduli Corrugated plate Hydrogel Symplectic method Displacement |
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