Method and device for constructing hyperelastic constitutive model of high polymer material
The invention discloses a construction method and device of a superelastic constitutive model of a high polymer material, and belongs to the technical field of material mechanics. The method comprises the following steps: calculating deformation free energy caused by extension of a cross-linked chai...
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creator | ZHAO LYU TANG JIANGYUAN LIU JUN LIANG SHUANG ZHU YAXIN HUANG MINSHENG |
description | The invention discloses a construction method and device of a superelastic constitutive model of a high polymer material, and belongs to the technical field of material mechanics. The method comprises the following steps: calculating deformation free energy caused by extension of a cross-linked chain and free energy caused by extension of a free chain by utilizing constitutive parameters of a high polymer material with actual physical significance, wherein the constitutive parameters comprise the cross-linked molecular chain modulus, the free molecular chain modulus, the number of monomers in a cross-linked molecular chain library and a free molecular chain movement hardening coefficient; and obtaining a mapping relation between the Cauchy stress of the high polymer material and the left Cauchy-Green deformation tensor so as to characterize the hyperelastic constitutive model of the high polymer material. According to the invention, a free chain motion hardening coefficient is introduced, so that the influenc |
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The method comprises the following steps: calculating deformation free energy caused by extension of a cross-linked chain and free energy caused by extension of a free chain by utilizing constitutive parameters of a high polymer material with actual physical significance, wherein the constitutive parameters comprise the cross-linked molecular chain modulus, the free molecular chain modulus, the number of monomers in a cross-linked molecular chain library and a free molecular chain movement hardening coefficient; and obtaining a mapping relation between the Cauchy stress of the high polymer material and the left Cauchy-Green deformation tensor so as to characterize the hyperelastic constitutive model of the high polymer material. 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The method comprises the following steps: calculating deformation free energy caused by extension of a cross-linked chain and free energy caused by extension of a free chain by utilizing constitutive parameters of a high polymer material with actual physical significance, wherein the constitutive parameters comprise the cross-linked molecular chain modulus, the free molecular chain modulus, the number of monomers in a cross-linked molecular chain library and a free molecular chain movement hardening coefficient; and obtaining a mapping relation between the Cauchy stress of the high polymer material and the left Cauchy-Green deformation tensor so as to characterize the hyperelastic constitutive model of the high polymer material. 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The method comprises the following steps: calculating deformation free energy caused by extension of a cross-linked chain and free energy caused by extension of a free chain by utilizing constitutive parameters of a high polymer material with actual physical significance, wherein the constitutive parameters comprise the cross-linked molecular chain modulus, the free molecular chain modulus, the number of monomers in a cross-linked molecular chain library and a free molecular chain movement hardening coefficient; and obtaining a mapping relation between the Cauchy stress of the high polymer material and the left Cauchy-Green deformation tensor so as to characterize the hyperelastic constitutive model of the high polymer material. According to the invention, a free chain motion hardening coefficient is introduced, so that the influenc</abstract><oa>free_for_read</oa></addata></record> |
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title | Method and device for constructing hyperelastic constitutive model of high polymer material |
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