期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 137, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2021.103802
关键词
Residual stress; Magneto-electro-mechanical coupling; Magneto-mechanical coupling; Electro-mechanical coupling; Magneto-active materials; Electro-active materials
类别
资金
- Engineering and Physical Sciences Research Council (EPSRC), UK under an Impact Acceleration Award [EP/R511614/1]
In this paper, a spectral constitutive equation for finite strain magneto-electric soft material bodies with residual stresses is developed using spectral invariants, each with a clear physical meaning. A prototype total energy function comprising of single-variable functions is proposed, which is easily handled and experimentally attractive. Results of some boundary value problems are provided.
Residual stresses may exist in different finitely deformed soft multifunctional materials such as in electroactive and magneto-active polymers. In order to develop accurate constitutive frameworks of these smart materials experiencing electro-magneto-mechanically coupled loads, the presence of residual stresses needs to be considered on the onset of the model development. In this contribution, a spectral constitutive equation for finite strain magneto-electric soft material bodies with residual stresses is developed using spectral invariants, where each spectral invariant has a clear physical meaning. A prototype total energy function comprising of single-variable functions is proposed; a single-variable function that depends on an invariant with a direct meaning is easily handled and is experimentally attractive. Results of some boundary value problems are given.
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