Discrete Differential Operators Immediately Applicable to Numerical Models of Solid Mechanics
Rev. Adv. Mater. Technol., 2022, vol. 4, no. 3, pp. 43–50
Abstract
The conventional gradient and related differential operators have been uniquely extended to a cluster of nodal points. Based on general algebraic grounds, such extensions are applicable to any discrete pattern while avoiding artificial shape functions or tessellations. Thus, various constitutive equations can be represented in a discrete form that enables the numerical modeling immediately in terms of nodal variables. Accuracy of this approach should ameliorate by the reduction of nodal spacing with the increasing computational power.
Keywords
Discrete gradient; Differential operator; Constitutive equation; Numerical modeling
References
Volume 4, No 3
pages 17-22
History
Receive Date:
17
September
2022
Accepted Date:
20
September
2022
Available online:
30
September
2022
© 2022 ITMO University.
This is an open access article under the terms
of the CC BY-NC 4.0 license.
Metadata is available under the terms of the CC BY 4.0 license
This is an open access article under the terms
of the CC BY-NC 4.0 license.
Metadata is available under the terms of the CC BY 4.0 license