Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

Santos, Tiago dos; Brezolin, Andrey; Rossi, Rodrigo; Rodríguez-Martínez, J.A.

doi:10.1007/s00707-020-02646-2

Cited by 9 publications

(7 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that considering the material strain rate sensitivity in the indentation model requires additional efforts, in line with the recent paper of dos Santos et al (2020), who developed a time-dependent cavity expansion model for size-independent elasto-viscoplastic materials modeled with von Mises plasticity, and performed finite element simulations to estimate the extend of the transient behavior that precedes the quasi-constant velocity expansion of the cavity. For rate-dependent materials it is essential to identify the loading time from whicḣ a becomes quasi-constant because if the indentation process is much faster than the time required for the quasi-constant velocity cavity expansion to appear, then the constant velocity cavitation fields (hypothesiṡ a = constant, see below Eq.…”

Section: Dynamic Indentation Modelmentioning

confidence: 80%

See 1 more Smart Citation

The combined effect of size, inertia and porosity on the indentation response of ductile materials

Santos

Srivastava

Rodríguez-Martínez

2021

Mechanics of Materials

Self Cite

View full text Add to dashboard Cite

Herein, we present a self-similar cavity expansion model that follows from the work of Cohen and Durban (2013b) to analyze the dynamic indentation response of elasto-plastic porous materials while accounting for the plastic strain gradient induced size effect. The incorporation of the plastic strain gradient induced size effect in the dynamic cavity expansion model for elasto-plastic porous materials is the key novelty of our model. The predictions of the cavity expansion model for the material hardness, for different indentation depths and speeds, are compared against the available experimental results for OFHC copper, for strain rates varying from 10 −4 s −1 to 10 8 s −1. We note that despite several simplifying assumptions, the predictions of our cavity expansion model show a reasonable agreement with the experimentally measured material hardness over a wide range of indentation depths and speeds. In addition, we have also carried out parametric analyses to elucidate the specific roles of indentation speed, size effect and initial porosity, on the material hardness and cavitation fields that develop during the indentation process. In particular, our parametric analyses show that there exists a critical value of the indentation speed beyond which the contribution of inertial effect becomes extremely important and the material hardness increases rapidly. While the influence of the initial porosity on the material hardness is found to increase with increasing indentation speed and decrease with increasing size effect.

show abstract

Section: Dynamic Indentation Modelmentioning

confidence: 80%

“…before inertia becomes the main contributor to material hardness). This point shall be addressed in future works, using an alternative method to the self-similar assumption used in this paper to solve the cavity expansion problem, see dos Santos et al (2020). Hassani et al (2020) for OFHC copper.…”

Section: Fully Dense Materialsmentioning

confidence: 99%

The combined effect of size, inertia and porosity on the indentation response of ductile materials

Santos

Srivastava

Rodríguez-Martínez

2021

Mechanics of Materials

Self Cite

View full text Add to dashboard Cite

show abstract

“…To be highlighted that, for the rate independent material employed in this work, the only feature regularizing and delaying the shock wave formation is the plastic strain induced size effects. However, for rate dependent porous metals, viscous [34,39] and micro-inertia induced pore size effects [12,13] are also expected to attenuate plastic shock waves.…”

Section: Resultsmentioning

confidence: 99%

Size effects on the plastic shock formation in steady-state cavity expansion in porous ductile materials

Santos

Rodríguez-Martínez

2021

Mechanics Research Communications

Self Cite

View full text Add to dashboard Cite

In this paper, we have studied the hypervelocity expansion of a spherical cavity in an infinite medium modeled with the extension of the porous plasticity criterion of Gurson [23] developed by Chen and Yuan [7] to account for plastic strain gradient induced size effects. Following the self-similar, steady-state solution derived by Cohen and Durban [9] for size-independent porous materials, we have computed the critical cavity expansion velocity which leads to the emergence of plastic shock waves for a wide range of initial void volume fractions and different values of the length scale parameter that controls the effect of size. We have shown that size effects hinder the emergence of plastic shock waves, so that as the length scale parameter increases, the expansion velocity required for the plastic shock to be formed increases. In addition, while porosity favors the formation of plastic shocks, as shown by Cohen and Durban [9], our results indicate that the effect of initial void volume fraction on plastic shock wave formation decreases for size-dependent materials.

show abstract

Section: Fully Dense Materialsmentioning

confidence: 99%

The combined effect of size, inertia and porosity on the indentation response of ductile materials

Rodríguez-Martínez¹,

Santos²,

Srivastava³

2020

Preprint

Self Cite

View full text Add to dashboard Cite

Herein, we present a self-similar cavity expansion model that follows from the work of Cohen and Durban (2013b) to analyze the dynamic indentation response of elasto-plastic porous materials while accounting for the plastic strain gradient induced size effect. The incorporation of the plastic strain gradient induced size effect in the dynamic cavity expansion model for elasto-plastic porous materials is the key novelty of our model. The predictions of the cavity expansion model for the material hardness, for different indentation depths and speeds, are compared against the available experimental results for OFHC copper, for strain rates varying from 10−4 s−1 to 108 s−1. We note that despite several simplifying assumptions, the predictions of our cavity expansion model show a reasonable agreement with the experimentally measured material hardness over a wide range of indentation depths and speeds. In addition, we have also carried out parametric analyses to elucidate the specific roles of indentation speed, size effect and initial porosity, on the material hardness and cavitation fields that develop during the indentation process. In particular, our parametric analyses show that there exists a critical value of the indentation speed beyond which the contribution of inertial effect becomes extremely important and the material hardness increases rapidly. While the influence of the initial porosity on the material hardness is found to increase with increasing indentation speed and decrease with increasing size effect.

show abstract

Modeling dynamic spherical cavity expansion in elasto-viscoplastic media

Cited by 9 publications

References 36 publications

The combined effect of size, inertia and porosity on the indentation response of ductile materials

The combined effect of size, inertia and porosity on the indentation response of ductile materials

Size effects on the plastic shock formation in steady-state cavity expansion in porous ductile materials

The combined effect of size, inertia and porosity on the indentation response of ductile materials

Contact Info

Product

Resources

About