What does this research mean for the field?

A time integration scheme combining the midpoint rule with a semi-smooth Newton strategy accurately captures complex nonlinear phenomena and maintains discrete energy consistency in finite-strain frictional contact models with inelastic transformations. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To establish a thermodynamically consistent numerical framework that enforces continuous energy balance at the discrete level for dynamic, finite-strain frictional contact with inelastic material transformations.

August 19, 2026Nonlinear Analysis Real World ApplicationsOpen Access

Discrete energy consistency for dynamic finite-strain frictional contact models with inelastic transformation

View Full Paper

Ask AI

Bookmark

Authors

MBMikaël Barboteu FBFrancesco Bonaldi SDSerge Dumont

Discussion

Member takes

Overview

Computational modeling study demonstrates discrete energy balance in dynamic finite-strain frictional contact, indicating improved stability and physical accuracy for inelastic material simulations.

Key Points

To establish a thermodynamically consistent numerical framework that enforces continuous energy balance at the discrete level for dynamic, finite-strain frictional contact with inelastic material transformations.
Coupled large-deformation continuum mechanics with dissipative constitutive laws, including viscoelasticity, superelasticity, plasticity, and unilateral frictional contact.
Formulated a midpoint rule time integration scheme combined with a semi-smooth Newton method for spatial discretization to maintain discrete energy balance.
Derived theoretical discrete energy estimates and validated them using a dynamic simulation of two rigid bars compressing a hyper-visco-elasto-plastic ball.
The theoretical framework successfully guaranteed discrete energy balance across dynamic contact and material transformations.
Numerical simulations accurately captured complex nonlinear interactions while maintaining robust and stable energy conservation and dissipation over long durations.

Cite This Study

Barboteu et al. (2026) studied this question.

synapsesocial.com/papers/6a8562eb03308d306e2d5f3c https://doi.org/10.1016/j.nonrwa.2026.104739

View Full Paper

Ask AI

Bookmark

August 19, 2026Nonlinear Analysis Real World ApplicationsOpen Access

Discrete energy consistency for dynamic finite-strain frictional contact models with inelastic transformation

View Full Paper

Ask AI

Bookmark

Authors

MBMikaël Barboteu FBFrancesco Bonaldi SDSerge Dumont

Discussion

Member takes

Overview

Computational modeling study demonstrates discrete energy balance in dynamic finite-strain frictional contact, indicating improved stability and physical accuracy for inelastic material simulations.

Key Points

To establish a thermodynamically consistent numerical framework that enforces continuous energy balance at the discrete level for dynamic, finite-strain frictional contact with inelastic material transformations.
Coupled large-deformation continuum mechanics with dissipative constitutive laws, including viscoelasticity, superelasticity, plasticity, and unilateral frictional contact.
Formulated a midpoint rule time integration scheme combined with a semi-smooth Newton method for spatial discretization to maintain discrete energy balance.
Derived theoretical discrete energy estimates and validated them using a dynamic simulation of two rigid bars compressing a hyper-visco-elasto-plastic ball.
The theoretical framework successfully guaranteed discrete energy balance across dynamic contact and material transformations.
Numerical simulations accurately captured complex nonlinear interactions while maintaining robust and stable energy conservation and dissipation over long durations.

Cite This Study

Barboteu et al. (2026) studied this question.

synapsesocial.com/papers/6a8562eb03308d306e2d5f3c https://doi.org/10.1016/j.nonrwa.2026.104739

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

View Full Paper

Ask AI

Bookmark