Modified bond-based Peridynamic Prediction of Crack Propagation in Viscoelastic Plates

  • سال انتشار: 1399
  • محل انتشار: بیست و هشتمین کنفرانس سالانه بین المللی انجمن مهندسان مکانیک ایران
  • کد COI اختصاصی: ISME28_470
  • زبان مقاله: انگلیسی
  • تعداد مشاهده: 585
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نویسندگان

Alireza Masoumi

Mechanical Engineering faculty, Amirkabir University of Technology, Hafez Ave, Valiasr Square, Tehran, Iran,

Manouchehr Salehi

Mechanical Engineering faculty, Amirkabir University of Technology, Hafez Ave, Valiasr Square, Tehran, Iran,

Mohammad Ravandi

Mechanical Engineering faculty, K.N. Toosi University of Technology, Pardis Alley, Vanak Square, Tehran, Iran,

چکیده

This paper presents the modified Bond-based peridynamic constitutive relations for viscoelastic deformation without any limitation to Poisson’s ratio under time-dependent mechanical loadings. Unlike the previous Bond-Based Peridynamic (BBP) models, It enables the direct use of 2-D plane stress and plane strain constitutive laws for isotropic materials by classifying bonds connecting the material point as normal bonds and shear bonds. The viscoelastic behavior of the material is modeled by the Prony series. The constitutive equations were derived based on the analogy of the Hereditary Integral in CCM and MBBP. Since the computational cost of the numerical solution of peridynamic equations is very high, the Adaptive Dynamic Relaxation (ADR) method is used to increase the convergence rate. Based on this strategy, the behavior of a viscoelastic plate under relaxation as the peridynamic solving loadings was modeled by numerical coding in Matlab. At first, deformation results were verified with ANSYS simulation, and then crack growth in this viscoelastic plate is successfully predicted by assuming a constant critical energy release rate.

کلیدواژه ها

Peridynamics, Bond-Based, Viscoelasticity, Prony series, damage.

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