Modeling Gum Metal and other newly developed titanium alloys within a new class of constitutive relations for elastic bodiestic bodies
| Type of publication: | Misc |
| Citation: | |
| Publication status: | Submitted |
| Journal: | Archives of Mechanics |
| Volume: | 69 |
| Number: | 3 |
| Year: | 2017 |
| Pages: | 223-241 |
| Abstract: | Many titanium alloys and even materials like concrete exhibit a nonlinear relationship between the strain and the stress, when the strain is small enough in the sense that the square of the norm of the displacement gradient can be ignored in comparison to the norm of the displacement gradient. Such response cannot be described within the classical theory of Cauchy elasticity wherein linearization of the nonlinear strain leads to the classical linearized elastic response. A new framework for elasticity has been put into place wherein one can justify rigorously a nonlinear relationship between the linearized strain and the stress. Here, we consider one such model based on a power-law relationship. Previous attempts at describing such response has been either limited to the response of one particular material, say Gum metal, or involves a model with more material moduli, than the model considered in this work. For the uniaxial response of several metallic alloys, the model that is being considered its experimental data exceedingly well. |
| Preprint project: | MORE |
| Preprint year: | 2017 |
| Preprint number: | 05 |
| Preprint ID: | MORE/2017/05 |
| Keywords: | |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
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