Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
Heavy-Duty Engines 2025 | 18 + 19 November 2025

Commercial Vehicles | Agricultural and Construction Machinery | Marine

Take part as a speaker in the 20th International MTZ Conference for the exchange of experience on industrial and commercial vehicle engines. Submit a subject proposal online!
EXTENDED SEARCH
Log in
Top
Engineering with Computers
Published in:

10-05-2022 | Original Article

A coupled peridynamic and finite strip method for analysis of in-plane behaviors of plates with discontinuities

Authors: Zahra Shafiei, Saeid Sarrami, Mojtaba Azhari, Ugo Galvanetto, Mirco Zaccariotto

Published in: Engineering with Computers | Issue 4/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this article, peridynamic and finite strip sub-regions are coupled for the first time. Accordingly, in areas where non-local effects are important, the peridynamic theory is used, while in other areas, the finite strip method, which is an optimal method for solving plate problems, is applied. Static cases with and without crack are investigated using the coupling approach, and the results are compared with those available in the literature. A comprehensive parametric study is performed to investigate the effect of various parameters, such as grid size, the horizon value, the number of strips, and different term functions used in the finite strip. Finally, some examples involving non-uniform load conditions, plate with a hole and crack propagation are studied.
previous article Decomposition of protrusion features on thin-shell parts for mold flow analysis
next article Multi-adaptive coupling of finite element meshes with peridynamic grids: robust implementation and potential applications

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
Silling SA (2000) Reformulation of elasticity theory for discontinuities and long-range forces. J Mech Phys Solids 48(1):175–209MathSciNetMATH
2.
Silling SA, Zimmermann M, Abeyaratne R (2003) Deformation of a peridynamic bar. J Elast 73(1):173–190MathSciNetMATH
3.
Silling SA, Askari E (2005) A meshfree method based on the peridynamic model of solid mechanics. Comput Struct 83(17–18):1526–1535
4.
Gerstle W, Sau N, Silling S (2007) Peridynamic modeling of concrete structures. Nucl Eng Des 237(12–13):1250–1258
5.
Silling SA, Epton M, Weckner O, Xu J, Askari E (2007) Peridynamic states and constitutive modeling. J Elast 88(2):151–184MathSciNetMATH
6.
Silling SA, Lehoucq RB (2008) Convergence of peridynamics to classical elasticity theory. J Elast 93(1):13MathSciNetMATH
7.
O’Grady J, Foster J (2014) Peridynamic beams: a non-ordinary, state-based model. Int J Solids Struct 51(18):3177–3183
8.
Taylor M, Steigmann DJ (2015) A two-dimensional peridynamic model for thin plates. Math Mech Solids 20(8):998–1010MathSciNetMATH
9.
O’Grady J, Foster J (2014) Peridynamic plates and flat shells: A non-ordinary, state-based model. Int J Solids Struct 51(25–26):4572–4579
10.
Diyaroglu C, Oterkus E, Oterkus S, Madenci E (2015) Peridynamics for bending of beams and plates with transverse shear deformation. Int J Solids Struct 69:152–168
11.
Cheung Y (1968) The finite strip method in the analysis of elastic plates with two opposite simply supported ends. Proc Am Soc Civ Eng 94:1365–1378
12.
Powell GH, Ogden DW (1969) Analysis of orthotropic steel plate bridge decks. J Struct Div 95(5):909–922
13.
Przemieniecki J (1973) Finite element structural analysis of local instability. AIAA J 11(1):33–39MATH
14.
Plank R, Wittrick W (1974) Buckling under combined loading of thin, flat-walled structures by a complex finite strip method. Int J Numer Meth Eng 8(2):323–339MATH
15.
Li W, Cheung Y, Tham L (1986) Spline finite strip analysis of general plates. J Eng Mech 112(1):43–54
16.
Azhari M, Hoshdar S, Bradford MA (2000) On the use of bubble functions in the local buckling analysis of plate structures by the spline finite strip method. Int J Numer Meth Eng 48(4):583–593MATH
17.
Cheung YK, Tham L (1997) The finite strip method. CRC Press
18.
Sarrami-Foroushani S, Azhari M (2014) Nonlocal vibration and buckling analysis of single and multi-layered graphene sheets using finite strip method including van der Waals effects. Physica E 57:83–95
19.
Golmakani M, Rezatalab J (2015) Nonuniform biaxial buckling of orthotropic nanoplates embedded in an elastic medium based on nonlocal Mindlin plate theory. Compos Struct 119:238–250
20.
Sarrami-Foroushani S, Azhari M, Saadatpour M (2013) Buckling of functionally graded stiffened and unstiffened plates using finite strip method. Comput Methods Civil Eng 4(1):1–24
21.
Beena K, Parvathy U (2014) Linear static analysis of functionally graded plate using spline finite strip method. Compos Struct 117:309–315
22.
Wang Y, Qiao P (2021) Improved buckling analysis of stiffened laminated composite plates by spline finite strip method. Compos Struct 255:112936
23.
Rostamijavanani A, Ebrahimi M, Jahedi S (2020) Thermal post-buckling analysis of laminated composite plates embedded with shape memory alloy fibers using semi-analytical finite strip method. J Fail Anal Prev 21(1):20–301
24.
Loja M, Soares CM, Barbosa J (2013) Analysis of functionally graded sandwich plate structures with piezoelectric skins, using B-spline finite strip method. Compos Struct 96:606–615
25.
Chan H, Foo O (1977) Buckling of multi-layer sandwich plates by the finite strip method. Int J Mech Sci 19(8):447–456MATH
26.
Shimpi RP (2002) Refined plate theory and its variants. AIAA J 40(1):137–146
27.
Dawe D (1978) Finite strip models for vibration of Mindlin plates. J Sound Vib 59(3):441–452
28.
Mousavi H, Azhari M, Saadatpour MM, Sarrami-Foroushani S (2020) Application of improved element-free Galerkin combining with finite strip method for buckling analysis of channel-section beams with openings. Eng Comput 38(1):739–755
29.
Macek RW, Silling SA (2007) Peridynamics via finite element analysis. Finite Elem Anal Des 43(15):1169–1178MathSciNet
30.
Oterkus E, Madenci E, Weckner O, Silling S, Bogert P, Tessler A (2012) Combined finite element and peridynamic analyses for predicting failure in a stiffened composite curved panel with a central slot. Compos Struct 94(3):839–850
31.
Lubineau G, Azdoud Y, Han F, Rey C, Askari A (2012) A morphing strategy to couple non-local to local continuum mechanics. J Mech Phys Solids 60(6):1088–1102MathSciNet
32.
Zaccariotto M, Mudric T, Tomasi D, Shojaei A, Galvanetto U (2018) Coupling of FEM meshes with Peridynamic grids. Comput Methods Appl Mech Eng 330:471–497MathSciNetMATH
33.
Shojaei A, Zaccariotto M, Galvanetto U (2017) Coupling of 2D discretized Peridynamics with a meshless method based on classical elasticity using switching of nodal behaviour. Eng Comput 34(5):1334–1366
34.
Galvanetto U, Mudric T, Shojaei A, Zaccariotto M (2016) An effective way to couple FEM meshes and Peridynamics grids for the solution of static equilibrium problems. Mech Res Commun 76:41–47
35.
Zaccariotto M, Tomasi D, Galvanetto U (2017) An enhanced coupling of PD grids to FE meshes. Mech Res Commun 84:125–135
36.
Silling S, Littlewood D, Seleson P (2015) Variable horizon in a peridynamic medium. J Mech Mater Struct 10(5):591–612MathSciNet
37.
Seleson P, Beneddine S, Prudhomme S (2013) A force-based coupling scheme for peridynamics and classical elasticity. Comput Mater Sci 66:34–49
38.
Liu W, Hong J-W (2012) A coupling approach of discretized peridynamics with finite element method. Comput Methods Appl Mech Eng 245:163–175MathSciNetMATH
39.
Madenci E, Oterkus E (2014) Peridynamic theory. Peridynamic theory and its applications. Springer, pp 19–43MATH
40.
Szilard R (2004) Theories and applications of plate analysis: classical, numerical and engineering methods. Appl Mech Rev 57(6):B32–B33
41.
R. ABAQUS version 6.14.4 (2018) Providence, USA
42.
Scabbia F, Zaccariotto M, Galvanetto U (2021) A novel and effective way to impose boundary conditions and to mitigate the surface effect in state-based Peridynamics. Int J Numer Meth Eng 122(20):5773–5811MathSciNet
Metadata
Title
A coupled peridynamic and finite strip method for analysis of in-plane behaviors of plates with discontinuities
Authors
Zahra Shafiei
Saeid Sarrami
Mojtaba Azhari
Ugo Galvanetto
Mirco Zaccariotto
Publication date
10-05-2022
Publisher
Springer London
Published in
Engineering with Computers / Issue 4/2023
Print ISSN: 0177-0667
Electronic ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-022-01665-y

Other articles of this Issue 4/2023

Nonlocal layerwise theory for bending, buckling and vibration analysis of functionally graded nanobeams

  • Original Article

Modeling of dendritic solidification and numerical analysis of the phase-field approach to model complex morphologies in alloys

  • Original Article

Correction to: Analysis of the nanoscale heat transport and Lorentz force based on the time-dependent Cross nanofluid

  • Correction

Decomposition of protrusion features on thin-shell parts for mold flow analysis

A novel meshfree radial point interpolation method with discrete shear gap for nonlinear static analysis of functionally graded plates

  • Original Article

A novel enhanced global exploration whale optimization algorithm based on Lévy flights and judgment mechanism for global continuous optimization problems

  • Original Article