Sweeping process approach to stress analysis in elastoplastic lattice spring models with applications to network materials

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00643311" target="_blank" >RIV/67985840:_____/25:00643311 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1103/2jdr-ck1m" target="_blank" >https://doi.org/10.1103/2jdr-ck1m</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/2jdr-ck1m" target="_blank" >10.1103/2jdr-ck1m</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Sweeping process approach to stress analysis in elastoplastic lattice spring models with applications to network materials

Popis výsledku v původním jazyce

Disordered network materials abound in both nature and synthetic situations while rigorous analysis of their nonlinear mechanical behaviors remains challenging. The purpose of this paper is to connect the mathematical framework of the sweeping process originally proposed by Moreau to the generic class of lattice spring models that incorporate plasticity. We derive the equations of quasistatic evolution of an elastic–perfectly plastic lattice and relate them to concepts from rigidity theory and structural mechanics. Then we explicitly construct a sweeping process and provide numerical schemes to find the evolution of stresses in the model. In particular, we develop a highly efficient “leapfrog” computational framework that allows us to rigorously track the progression of plastic events in the system based on the sweeping process theory. The utility of our framework is demonstrated by analyzing the elastoplastic stresses in a novel class of disordered network materials exhibiting the property of hyperuniformity, in which the (normalized) infinite-wavelength density fluctuations associated with the distribution of network nodes are completely suppressed. We find enhanced mechanical properties such as increasing stiffness, yield strength, and tensile strength as the degree of hyperuniformity of the material system increases. Our results have implications for optimal network material design and our event-based framework can be readily generalized to nonlinear stress analysis of other heterogeneous material systems.

Název v anglickém jazyce

Sweeping process approach to stress analysis in elastoplastic lattice spring models with applications to network materials

Popis výsledku anglicky

Disordered network materials abound in both nature and synthetic situations while rigorous analysis of their nonlinear mechanical behaviors remains challenging. The purpose of this paper is to connect the mathematical framework of the sweeping process originally proposed by Moreau to the generic class of lattice spring models that incorporate plasticity. We derive the equations of quasistatic evolution of an elastic–perfectly plastic lattice and relate them to concepts from rigidity theory and structural mechanics. Then we explicitly construct a sweeping process and provide numerical schemes to find the evolution of stresses in the model. In particular, we develop a highly efficient “leapfrog” computational framework that allows us to rigorously track the progression of plastic events in the system based on the sweeping process theory. The utility of our framework is demonstrated by analyzing the elastoplastic stresses in a novel class of disordered network materials exhibiting the property of hyperuniformity, in which the (normalized) infinite-wavelength density fluctuations associated with the distribution of network nodes are completely suppressed. We find enhanced mechanical properties such as increasing stiffness, yield strength, and tensile strength as the degree of hyperuniformity of the material system increases. Our results have implications for optimal network material design and our event-based framework can be readily generalized to nonlinear stress analysis of other heterogeneous material systems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA24-10586S" target="_blank" >GA24-10586S: Analytické a numerické modelování hysterezních jevů</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review E

ISSN

2470-0045

e-ISSN

2470-0053

Svazek periodika

112

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

35

Strana od-do

065501

Kód UT WoS článku

001636216500002

EID výsledku v databázi Scopus

2-s2.0-105024431095