Peridynamics and its applications in marine structures

Erkan Oterkus, Cagan Diyaroglu, Selda Oterkus

Research output: Contribution to conferenceAbstract

Abstract

Prediction of fracture and failure is a challenging research area. There are various methods available in the literature for this purpose including well-known finite element (FE) method. FE method is a powerful technique for deformation and stress analysis of structures. However, it has various disadvantages in predicting failure due to its mathematical structure since it is based on classical continuum mechanics (CCM). CCM has governing equations in the form of partial differential equations. These equat ions are not valid if the displacement field is discontinuous as a result of crack occurrence. In order to overcome this problem, a new continuum mechanics formulation was introduced and named as Peridynamics [1] . Peridynamics uses integrals equations as opposed to partial different equations of CCM. Moreover, it does not contain any spatial derivatives. Hence, its equations are always valid regardless of discontinuities. In this presentation, the applications of Peridynamics for marine structures will be demonstrated. Particularly, the Peridynamic equations are rederived for simplified structures commonly used in marine structures including beams and plates. Furthermore, underwater shock response of marine composites is investigated. Finally, the peridynamic formulation for contact analysis which can be used for collision and grounding of ship structures will be demonstrated. In order to reduce the computational time, several solution strategies will be explained including parallel programming applications.

Conference

ConferenceWorkshop on Ships and Offshore Structures 2018 (WSOS 2018)
CountryUnited Kingdom
CityGlasgow
Period7/02/1810/02/18

Fingerprint

Ocean structures
Continuum mechanics
Finite element method
Parallel programming
Electric grounding
Stress analysis
Partial differential equations
Integral equations
Ships
Derivatives
Cracks
Composite materials
Ions

Keywords

  • peridynamics
  • marine structures
  • numerical modelling
  • fracture
  • computational mechanics

Cite this

Oterkus, E., Diyaroglu, C., & Oterkus, S. (2018). Peridynamics and its applications in marine structures. Abstract from Workshop on Ships and Offshore Structures 2018 (WSOS 2018), Glasgow, United Kingdom.
Oterkus, Erkan ; Diyaroglu, Cagan ; Oterkus, Selda. / Peridynamics and its applications in marine structures. Abstract from Workshop on Ships and Offshore Structures 2018 (WSOS 2018), Glasgow, United Kingdom.1 p.
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Oterkus, E, Diyaroglu, C & Oterkus, S 2018, 'Peridynamics and its applications in marine structures' Workshop on Ships and Offshore Structures 2018 (WSOS 2018), Glasgow, United Kingdom, 7/02/18 - 10/02/18, .

Peridynamics and its applications in marine structures. / Oterkus, Erkan; Diyaroglu, Cagan; Oterkus, Selda.

2018. Abstract from Workshop on Ships and Offshore Structures 2018 (WSOS 2018), Glasgow, United Kingdom.

Research output: Contribution to conferenceAbstract

TY - CONF

T1 - Peridynamics and its applications in marine structures

AU - Oterkus, Erkan

AU - Diyaroglu, Cagan

AU - Oterkus, Selda

PY - 2018/2/8

Y1 - 2018/2/8

N2 - Prediction of fracture and failure is a challenging research area. There are various methods available in the literature for this purpose including well-known finite element (FE) method. FE method is a powerful technique for deformation and stress analysis of structures. However, it has various disadvantages in predicting failure due to its mathematical structure since it is based on classical continuum mechanics (CCM). CCM has governing equations in the form of partial differential equations. These equat ions are not valid if the displacement field is discontinuous as a result of crack occurrence. In order to overcome this problem, a new continuum mechanics formulation was introduced and named as Peridynamics [1] . Peridynamics uses integrals equations as opposed to partial different equations of CCM. Moreover, it does not contain any spatial derivatives. Hence, its equations are always valid regardless of discontinuities. In this presentation, the applications of Peridynamics for marine structures will be demonstrated. Particularly, the Peridynamic equations are rederived for simplified structures commonly used in marine structures including beams and plates. Furthermore, underwater shock response of marine composites is investigated. Finally, the peridynamic formulation for contact analysis which can be used for collision and grounding of ship structures will be demonstrated. In order to reduce the computational time, several solution strategies will be explained including parallel programming applications.

AB - Prediction of fracture and failure is a challenging research area. There are various methods available in the literature for this purpose including well-known finite element (FE) method. FE method is a powerful technique for deformation and stress analysis of structures. However, it has various disadvantages in predicting failure due to its mathematical structure since it is based on classical continuum mechanics (CCM). CCM has governing equations in the form of partial differential equations. These equat ions are not valid if the displacement field is discontinuous as a result of crack occurrence. In order to overcome this problem, a new continuum mechanics formulation was introduced and named as Peridynamics [1] . Peridynamics uses integrals equations as opposed to partial different equations of CCM. Moreover, it does not contain any spatial derivatives. Hence, its equations are always valid regardless of discontinuities. In this presentation, the applications of Peridynamics for marine structures will be demonstrated. Particularly, the Peridynamic equations are rederived for simplified structures commonly used in marine structures including beams and plates. Furthermore, underwater shock response of marine composites is investigated. Finally, the peridynamic formulation for contact analysis which can be used for collision and grounding of ship structures will be demonstrated. In order to reduce the computational time, several solution strategies will be explained including parallel programming applications.

KW - peridynamics

KW - marine structures

KW - numerical modelling

KW - fracture

KW - computational mechanics

M3 - Abstract

ER -

Oterkus E, Diyaroglu C, Oterkus S. Peridynamics and its applications in marine structures. 2018. Abstract from Workshop on Ships and Offshore Structures 2018 (WSOS 2018), Glasgow, United Kingdom.