| CAVITATION BIFURCATION FOR COMPRESSIBLE ANISOTROPIC HYPERELASTIC MATERIALS |
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| 引用本文： | ChengChangjun RenJiusheng. CAVITATION BIFURCATION FOR COMPRESSIBLE ANISOTROPIC HYPERELASTIC MATERIALS[J]. Acta Mechanica Solida Sinica, 2004, 17(3): 218-222. DOI: 10.1007/s10338-004-0427-6 |
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| 作者姓名： | ChengChangjun RenJiusheng |
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| 作者单位： | Department of Mechanics，Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，China |
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| 摘 要： | I. INTRODUCTION The cavitation bifurcation problem, sudden formation and growth of voids in solid materials, haslong attracted much attention because of the fundamental role it plays in the local failure and fractureof materials. For hyperelastic materi…
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| 关 键 词： | 各向异性材料 空穴分支 能量对比 压缩超弹性材料 材料力学 数值分析 |
| 收稿时间： | 2002-12-19 |
Cavitation Bifurcation for Compressible Anisotropic Hyperelastic Materials |
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| Cheng Changjun and Ren Jiusheng. Cavitation Bifurcation for Compressible Anisotropic Hyperelastic Materials[J]. Acta Mechanica Solida Sinica, 2004, 17(3): 218-222. DOI: 10.1007/s10338-004-0427-6 |
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| Authors: | Cheng Changjun and Ren Jiusheng |
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| Affiliation: | (1) Department of Mechanics, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, China |
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| Abstract: | The e?ect of material anisotropy on the bifurcation for void formation in anisotropic compressible hyperelastic materials is examined. Numerical solutions are obtained in an anisotropic sphere, whose material is transversely isotropic in the radial direction. It is shown that the bifur- cation may occur either to the right or to the left, depending on the degree of material anisotropy. The deformation and stress contribution in the sphere before cavitation are di?erent from those after cavitation. The stability of solutions is discussed through a comparison of energy. |
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| Keywords: | compressible hyperelastic material anisotropy cavitation bifurcation energy com- parison |
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