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Simulation of highly nonlinear materials based on a stabilized non-ordinary state-based peridynamic model
https://orcid.org/0000-0003-4705-4922
https://orcid.org/0000-0002-6166-4535
https://orcid.org/0000-0002-6950-1474
Abstract Peridynamics (PD) is an effective method to solve discontinuity problems that involve cracking or crushing behaviors. In the non-ordinary state-based PD (NOSBPD), the so called zero-energy mode may cause inaccuracy particularly when the material is highly nonlinear. This paper proposed a novel stabilized NOSBPD modeling method to mitigate the inaccuracy and instability of NOSBPD solutions. A correction force for a PD point is defined as the difference between an internal force obtained by stress equilibrium equation and that obtained by the force states of the points within its horizon. The correction force is applied on the PD points to be corrected, e.g., that on the boundary of a PD model. Three examples are presented demonstrating the proposed method's effectiveness in static and dynamic analyses of both linear or highly nonlinear models, i.e., 3D cap plasticity concrete model and 2D multi-yield surface soil model. The predicted responses (e.g., displacements, stresses, strains at representative points) are analyzed and compared with those without force correction for both linear and highly nonlinear cases. The proposed method is demonstrated to be an effective method for mitigating the inaccuracy and instability of the NOSBPD solutions.
Highlights A force correction method is presented to mitigate the zero-energy mode of non-ordinary state-based peridynamics. The method significantly mitigates zero-energy mode, improving accuracy and stability of peridynamic solutions. The method is verified by examples using cap plasticity concrete model and multi-yield surface plasticity soil model. The method is applicable to a wide range of problems in static and seismic analyses with highly nonlinear materials.
Simulation of highly nonlinear materials based on a stabilized non-ordinary state-based peridynamic model
https://orcid.org/0000-0003-4705-4922
https://orcid.org/0000-0002-6166-4535
https://orcid.org/0000-0002-6950-1474
Abstract Peridynamics (PD) is an effective method to solve discontinuity problems that involve cracking or crushing behaviors. In the non-ordinary state-based PD (NOSBPD), the so called zero-energy mode may cause inaccuracy particularly when the material is highly nonlinear. This paper proposed a novel stabilized NOSBPD modeling method to mitigate the inaccuracy and instability of NOSBPD solutions. A correction force for a PD point is defined as the difference between an internal force obtained by stress equilibrium equation and that obtained by the force states of the points within its horizon. The correction force is applied on the PD points to be corrected, e.g., that on the boundary of a PD model. Three examples are presented demonstrating the proposed method's effectiveness in static and dynamic analyses of both linear or highly nonlinear models, i.e., 3D cap plasticity concrete model and 2D multi-yield surface soil model. The predicted responses (e.g., displacements, stresses, strains at representative points) are analyzed and compared with those without force correction for both linear and highly nonlinear cases. The proposed method is demonstrated to be an effective method for mitigating the inaccuracy and instability of the NOSBPD solutions.
Highlights A force correction method is presented to mitigate the zero-energy mode of non-ordinary state-based peridynamics. The method significantly mitigates zero-energy mode, improving accuracy and stability of peridynamic solutions. The method is verified by examples using cap plasticity concrete model and multi-yield surface plasticity soil model. The method is applicable to a wide range of problems in static and seismic analyses with highly nonlinear materials.
Simulation of highly nonlinear materials based on a stabilized non-ordinary state-based peridynamic model
https://orcid.org/0000-0003-4705-4922
https://orcid.org/0000-0002-6166-4535
https://orcid.org/0000-0002-6950-1474
Abstract Peridynamics (PD) is an effective method to solve discontinuity problems that involve cracking or crushing behaviors. In the non-ordinary state-based PD (NOSBPD), the so called zero-energy mode may cause inaccuracy particularly when the material is highly nonlinear. This paper proposed a novel stabilized NOSBPD modeling method to mitigate the inaccuracy and instability of NOSBPD solutions. A correction force for a PD point is defined as the difference between an internal force obtained by stress equilibrium equation and that obtained by the force states of the points within its horizon. The correction force is applied on the PD points to be corrected, e.g., that on the boundary of a PD model. Three examples are presented demonstrating the proposed method's effectiveness in static and dynamic analyses of both linear or highly nonlinear models, i.e., 3D cap plasticity concrete model and 2D multi-yield surface soil model. The predicted responses (e.g., displacements, stresses, strains at representative points) are analyzed and compared with those without force correction for both linear and highly nonlinear cases. The proposed method is demonstrated to be an effective method for mitigating the inaccuracy and instability of the NOSBPD solutions.
Highlights A force correction method is presented to mitigate the zero-energy mode of non-ordinary state-based peridynamics. The method significantly mitigates zero-energy mode, improving accuracy and stability of peridynamic solutions. The method is verified by examples using cap plasticity concrete model and multi-yield surface plasticity soil model. The method is applicable to a wide range of problems in static and seismic analyses with highly nonlinear materials.
Simulation of highly nonlinear materials based on a stabilized non-ordinary state-based peridynamic model
Wang, Lei (Autor:in) / Huang, Surong (Autor:in) / Gu, Quan (Autor:in) / Sun, Baoyin (Autor:in) / Li, Shaofan (Autor:in) / Lin, Zhe (Autor:in)
10.03.2022
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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