Effect of inner gas pressure on the elastoplastic behavior of porous materials: A second-order moment micromechanics model. (English) Zbl 1165.74018
Summary: A new micromechanics model based on the second-order moment of stress is established to investigate the effect of gas pressure on the nonlinear macroscopic constitutive relationship of porous materials. The analytical method agrees well with numerical simulation based on the finite element method. Through a systematic study, we find that the gas pressure has a prominent effect on the nonlinear deformation behavior of porous materials. The gas pressure can cause tension-compression asymmetry on the uniaxial stress-strain curve and the nominal Poisson’s ratio. The pore pressure significantly reduces the initial yield strength and failure strength of porous metals, especially when the relative density of the material is small. The gas phase also strongly compromises the composite strength when the temperature is increased. The model may be useful for the evaluation of mechanical integrity of porous materials under various working conditions and working temperatures.
MSC:
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74M25 | Micromechanics of solids |
| 74S05 | Finite element methods applied to problems in solid mechanics |
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