Browsing by Keywords "Peridynamics"

Now showing items 1-15 of 15

    • Aspects of constitutive modeling in continuum-kinematics-inspired peridynamics 

      Ekiz, Ekim (Bilkent University, 2022-10)
      Continuum-kinematics-inspired Peridynamics (CPD) has been recently proposed as a geometrically exact formulation of peridynamics (PD) that is also thermo- dynamically and variationally consistent. Unlike the original ...

    • The computational framework for continuum-kinematics-inspired peridynamics 

      Javili, Ali; Firooz, Soheil; McBride, A. T.; Steinmann, P. (Springer Science and Business Media B.V., 2020)
      Peridynamics (PD) is a non-local continuum formulation. The original version of PD was restricted to bond-based interactions. Bond-based PD is geometrically exact and its kinematics are similar to classical continuum ...

    • Continuum-kinematics-inspired peridynamics. Mechanical problems 

      Javili, Ali; McBride, A. T.; Steinmann, P. (Elsevier, 2019)
      The main objective of this contribution is to develop a novel continuum-kinematicsinspired approach for peridynamics (PD), and to revisit PD’s thermodynamic foundations. We distinguish between three types of interactions, ...

    • Continuum-kinematics-inspired peridynamics: thermo-mechanical problems 

      Javili, Ali; Ekiz, Ekim; McBride, A. T.; Steinmann, P. (Springer, 2021-03-31)
      The recently proposed continuum-kinematics-inspired peridynamics (CPD) is extended to account for thermo-mechanical coupling at large deformations. The key features of CPD are that it is geometrically exact and is built ...

    • Development of a non-ordinary state-based peridynamics solver 

      Morasata, Rico (Bilkent University, 2019-09)
      Damage prediction is crucial in the design process of engineering structures to ensure structural integrity. The limitations of empirical methods and the high costs associated with experimental analyses have prompted the ...

    • A different catch for Poisson 

      Bakiler, A. Derya; Javili, Ali (Springer, 2022-05-04)
      Poisson’s ratio, similar to other material parameters of isotropic elasticity, is determined via experiments corresponding to small strains. Yet at small-strain linear elasticity, Poisson’s ratio has a dual nature; although ...

    • From two- to three-dimensional continuum-kinematics-inspired peridynamics: More than just another dimension 

      Ekiz, Ekim; Steinmann, P.; Javili, A. (Elsevier BV, 2022-08-19)
      Continuum-kinematics-inspired Peridynamics (CPD) has been recently proposed as a geometrically exact formulation of peridynamics that is also thermodynamically and variationally consistent. Unlike the original formulation ...

    • A geometrically exact formulation of peridynamics 

      Javili, Ali; McBride, A. T.; Steinmann, P. (Elsevier BV, 2021-02)
      The main objective of this contribution is to develop a geometrically exact peridynamics (PD) formulation wherein the basic elements of continuum kinematics are preserved. The proposed formulation accounts for large ...

    • A nonlocal interface approach to peridynamics exemplified by continuum-kinematics-inspired peridynamics 

      Laurien, Marie; Javili, Ali; Steinmann, Paul (John Wiley and Sons Ltd, 2022-08-15)
      In this contribution, we present a novel approach on how to treat material interfaces in nonlocal models based on peridynamics (PD) and in particular continuum-kinematics-inspired peridynamics (CPD), a novel variationally ...

    • Nonlocal wrinkling instabilities in bilayered systems using peridynamics 

      Javili, Ali; Laurien, M.; Steinmann, P. (Springer, 2021-07-30)
      Wrinkling instabilities occur when a stiff thin film bonded to an elastic substrate undergoes compression. Regardless of the nature of compression, this phenomenon has been extensively studied through local models based ...

    • Open system peridynamics 

      Schaller, Emely; Javili, Ali; Steinmann, Paul (Springer Science and Business Media Deutschland GmbH, 2022-05-10)
      We 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 ...

    • A peridynamic formulation for nonlocal bone remodelling 

      Schaller, E.; Javili, Ali; Schmidt, I.; Papastavrou, A.; Steinmann, P. (Taylor & Francis, 2022-04-18)
      Bone remodelling is a complex biomechanical process, which has been studied widely based on the restrictions of local continuum theory. To provide a nonlocal bone remodelling framework, we propose, for the first time, a ...

    • Peridynamics review 

      Javili, Ali; Morasata, Rico; Öterkuş, E.; Öterkuş, S. (SAGE Publications Inc., 2019)
      Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in 2000. The roots of PD can be traced back to the early works of Gabrio Piola according to dell’Isola et al. PD has been attractive ...

    • Relationships between the material parameters of continuum-kinematics-inspired peridynamics and isotropic linear elasticity for two-dimensional problems 

      Ekiz, Ekim; Steinmann, P.; Javili, Ali (Elsevier Ltd, 2021-12-06)
      Continuum-kinematics-inspired Peridynamics (CPD) has been recently proposed as a geometrically exact formulation of peridynamics that is also thermodynamically and variationally consistent. CPD can capture the Poisson ...

    • Towards elasto-plastic continuum-kinematics-inspired peridynamics 

      Javili, Ali; McBride, A. T.; Mergheim, J.; Steinmann, P. (Elsevier BV, 2021-07-01)
      The main objective of this contribution is to develop a dissipation-consistent elasto-plastic peridynamic (PD) formulation that is also geometrically exact. We distinguish between one-neighbour, two-neighbour and three-neighbour ...