Open system peridynamics

buir.contributor.orcidJavili, Ali|0000-0001-7965-7088en_US
dc.citation.epage1141en_US
dc.citation.issueNumber5en_US
dc.citation.spage1125en_US
dc.citation.volumeNumber34en_US
dc.contributor.authorSchaller, Emely
dc.contributor.authorJavili, Ali
dc.contributor.authorSteinmann, Paul
dc.contributor.bilkentauthorJavili, Ali
dc.date.accessioned2023-03-02T14:07:53Z
dc.date.available2023-03-02T14:07:53Z
dc.date.issued2022-05-10
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractWe propose, for the first time, a thermodynamically consistent formulation for open system (continuum-kinematics-inspired) peridynamics. In contrast to closed system mechanics, in open system mechanics mass can no longer be considered a conservative property. In this contribution, we enhance the balance of mass by a (nonlocal) mass source. To elaborate a thermodynamically consistent formulation, the balances of momentum, energy and entropy need to be reconsidered as they are influenced by the additional mass source. Due to the nonlocal continuum formulation, we distinguish between local and nonlocal balance equations. We obtain the dissipation inequality via a Legendre transformation and derive the structure and constraints of the constitutive expressions based on the Coleman–Noll procedure. For the sake of demonstration, we present an example for a nonlocal mass source that can model the complex process of bone remodelling in peridynamics. In addition, we provide a numerical example to highlight the influence of nonlocality on the material density evolution. © 2022, The Author(s).en_US
dc.identifier.doi10.1007/s00161-022-01105-8en_US
dc.identifier.issn09351175
dc.identifier.urihttp://hdl.handle.net/11693/112033
dc.language.isoEnglishen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.isversionofhttps://dx.doi.org/10.1007/s00161-022-01105-8en_US
dc.source.titleContinuum Mechanics and Thermodynamicsen_US
dc.subjectMass changeen_US
dc.subjectNonlocal materialen_US
dc.subjectOpen systemen_US
dc.subjectPeridynamicsen_US
dc.titleOpen system peridynamicsen_US
dc.typeArticleen_US
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