Bifurcation phenomena of a biphasic compressible hyperelastic spherical continuum
| Autor: | Y. Hollander, David Durban |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Continuum mechanics
Continuum (measurement) Mechanical Engineering Applied Mathematics Hyperelasticity Spherical bifurcation Biphasic Spherical cell Rate equation Mechanics Condensed Matter Physics Classical mechanics Materials Science(all) Mechanics of Materials Modeling and Simulation Hyperelastic material Modelling and Simulation Compressibility General Materials Science Tumor growth Bifurcation Mathematics |
| Zdroj: | International Journal of Solids and Structures. 46(24):4252-4259 |
| ISSN: | 0020-7683 |
| DOI: | 10.1016/j.ijsolstr.2009.08.015 |
| Popis: | A basic linear bifurcation problem is solved for a representative biphasic composite spherical cell. Setting is that of an internal inclusion that expends with an external shell made of a different material. Exact rate equations are derived in the framework of hyperelastic continuum mechanics. Sample examples are solved numerically revealing sensitivity of critical strain levels and bifurcated mode pattern to strength differential between both phases. Mathematical framework can be adapted to other types of constitutive responses. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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