WAVES IN PRE-STRETCHED INCOMPRESSIBLE SOFT ELECTROACTIVE CYLINDERS： EXACT SOLUTION
This paper studies wave propagation in a soft electroactive cylinder with an under- lying finite deformation in the presence of an electric biasing field. Based on a recently proposed nonlinear framework for electroelastieity and the associated linear incremental theory, the basic equations governin...
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| Veröffentlicht in: | Acta mechanica solida Sinica 2012-10, Vol.25 (5), p.530-541 |
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| creator | Chen, Weiqiu Dai, Huihui |
| description | This paper studies wave propagation in a soft electroactive cylinder with an under- lying finite deformation in the presence of an electric biasing field. Based on a recently proposed nonlinear framework for electroelastieity and the associated linear incremental theory, the basic equations governing the axisymmetric wave motion in the cylinder, which is subjected to homo- geneous pre-stretches and pre-existing axial electric displacement, are presented when the elec- troactive material is isotropic and incompressible. Exact wave solution is then derived in terms of （modified） Bessel functions. For a prototype model of nonlinear electroactive material, illus- trative numerical results are given. It is shown that the effect of pre-stretch and electric biasing field could be significant on the wave propagation characteristics. |
| doi_str_mv | 10.1016/S0894-9166(12)60047-0 |
| format | Article |
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Based on a recently proposed nonlinear framework for electroelastieity and the associated linear incremental theory, the basic equations governing the axisymmetric wave motion in the cylinder, which is subjected to homo- geneous pre-stretches and pre-existing axial electric displacement, are presented when the elec- troactive material is isotropic and incompressible. Exact wave solution is then derived in terms of （modified） Bessel functions. For a prototype model of nonlinear electroactive material, illus- trative numerical results are given. It is shown that the effect of pre-stretch and electric biasing field could be significant on the wave propagation characteristics.</description><identifier>ISSN: 0894-9166</identifier><identifier>EISSN: 1860-2134</identifier><identifier>DOI: 10.1016/S0894-9166(12)60047-0</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Cylinders ; dispersion relation ; Electroactive materials ; electroelastic waves ; EXACT ; Exact solutions ; finite pre-stretch ; Mathematical analysis ; Mathematical models ; Nonlinearity ; SOFT ; soft electroactive cylinder ; Wave motion ; Wave propagation ; 增量理论 ; 有限变形 ; 波的传播 ; 电化学 ; 贝塞尔函数 ; 预拉伸</subject><ispartof>Acta mechanica solida Sinica, 2012-10, Vol.25 (5), p.530-541</ispartof><rights>2012 The Chinese Society of Theoretical and Applied Mechanics</rights><rights>Copyright © Wanfang Data Co. Ltd. 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Based on a recently proposed nonlinear framework for electroelastieity and the associated linear incremental theory, the basic equations governing the axisymmetric wave motion in the cylinder, which is subjected to homo- geneous pre-stretches and pre-existing axial electric displacement, are presented when the elec- troactive material is isotropic and incompressible. Exact wave solution is then derived in terms of （modified） Bessel functions. For a prototype model of nonlinear electroactive material, illus- trative numerical results are given. It is shown that the effect of pre-stretch and electric biasing field could be significant on the wave propagation characteristics.</description><subject>Cylinders</subject><subject>dispersion relation</subject><subject>Electroactive materials</subject><subject>electroelastic waves</subject><subject>EXACT</subject><subject>Exact solutions</subject><subject>finite pre-stretch</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Nonlinearity</subject><subject>SOFT</subject><subject>soft electroactive cylinder</subject><subject>Wave motion</subject><subject>Wave propagation</subject><subject>增量理论</subject><subject>有限变形</subject><subject>波的传播</subject><subject>电化学</subject><subject>贝塞尔函数</subject><subject>预拉伸</subject><issn>0894-9166</issn><issn>1860-2134</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNqFkM1O20AUhUeISoSfR0Byd2FhuPPjGXtVpWagltwYxU7arkZjZ5w6SmzwJBRepc_Sd-IVOiG0W1ZXOvruOfcehM4xXGLA_CqHMGJ-hDkfYnLBAZjw4QANcMjBJ5iyQzT4jxyhY2uXAARoSAao-DaaydxLxt7dRPp5MZFF_EVeOyHOvjopz5PPqfTy7KbwZCrjYpKN4iKZSS_-kSbjaznJX_789uR3pzoqnRZJNj5FH2q9subsbZ6g6c3O10-z2yQepX7FgGz8sMQ0Ag2CzIOoJkKIMhDueCg5rUvKjaER1zyq2FxQRkwd6hJrXRKGK0FKTU_Qxd73l25r3S7Ustv2rUtUi83q6alUhgAmEAAGxw737H3fPWyN3ah1YyuzWunWdFurMAkpDwIWYocGe7TqO2t7U6v7vlnr_llhULvG1Wvjalen21OvjatdxKf9nnE_PzamV7ZqTFuZedObaqPmXfOuw8e35J9du3ho3Ev_ohkVIIAK-helF4w7</recordid><startdate>20121001</startdate><enddate>20121001</enddate><creator>Chen, Weiqiu</creator><creator>Dai, Huihui</creator><general>Elsevier Ltd</general><general>Soft Matter Research Center(SMRC), Zhejiang University, Hangzhou 310027, China</general><general>Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China%Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20121001</creationdate><title>WAVES IN PRE-STRETCHED INCOMPRESSIBLE SOFT ELECTROACTIVE CYLINDERS： EXACT SOLUTION</title><author>Chen, Weiqiu ; Dai, Huihui</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c402t-8b1390a072d59f2777b570470b63fb36ee396a69c4d7342ef8ab1aab241c72ba3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Cylinders</topic><topic>dispersion relation</topic><topic>Electroactive materials</topic><topic>electroelastic waves</topic><topic>EXACT</topic><topic>Exact solutions</topic><topic>finite pre-stretch</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Nonlinearity</topic><topic>SOFT</topic><topic>soft electroactive cylinder</topic><topic>Wave motion</topic><topic>Wave propagation</topic><topic>增量理论</topic><topic>有限变形</topic><topic>波的传播</topic><topic>电化学</topic><topic>贝塞尔函数</topic><topic>预拉伸</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Weiqiu</creatorcontrib><creatorcontrib>Dai, Huihui</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Acta mechanica solida Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Weiqiu</au><au>Dai, Huihui</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>WAVES IN PRE-STRETCHED INCOMPRESSIBLE SOFT ELECTROACTIVE CYLINDERS： EXACT SOLUTION</atitle><jtitle>Acta mechanica solida Sinica</jtitle><addtitle>Acta Mechanica Solida Sinica</addtitle><date>2012-10-01</date><risdate>2012</risdate><volume>25</volume><issue>5</issue><spage>530</spage><epage>541</epage><pages>530-541</pages><issn>0894-9166</issn><eissn>1860-2134</eissn><abstract>This paper studies wave propagation in a soft electroactive cylinder with an under- lying finite deformation in the presence of an electric biasing field. Based on a recently proposed nonlinear framework for electroelastieity and the associated linear incremental theory, the basic equations governing the axisymmetric wave motion in the cylinder, which is subjected to homo- geneous pre-stretches and pre-existing axial electric displacement, are presented when the elec- troactive material is isotropic and incompressible. Exact wave solution is then derived in terms of （modified） Bessel functions. For a prototype model of nonlinear electroactive material, illus- trative numerical results are given. It is shown that the effect of pre-stretch and electric biasing field could be significant on the wave propagation characteristics.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/S0894-9166(12)60047-0</doi><tpages>12</tpages></addata></record> |
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| source | Elsevier ScienceDirect Journals; Springer Nature - Complete Springer Journals; Alma/SFX Local Collection |
| subjects | Cylinders dispersion relation Electroactive materials electroelastic waves EXACT Exact solutions finite pre-stretch Mathematical analysis Mathematical models Nonlinearity SOFT soft electroactive cylinder Wave motion Wave propagation 增量理论 有限变形 波的传播 电化学 贝塞尔函数 预拉伸 |
| title | WAVES IN PRE-STRETCHED INCOMPRESSIBLE SOFT ELECTROACTIVE CYLINDERS： EXACT SOLUTION |
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