Method and apparatus for shape-based energy analysis of solids
Abstract
A method of evaluating response of a physical structure to external stimulus includes defining a mesh of finite elements, each defined by edges, for a model of the physical structure. The method includes identifying a governing differential equation and associated complementary functions, which are each associated with a scalar multiplier. The method includes generating an energy optimization model that minimizes a difference between internal and external energies of the finite elements. The internal energy is based on strain energy in a volume defined by the edges of the finite element and resulting from deformations by the complementary functions. The external energy of each finite element is based on external work done by the external stimulus acting on the finite element as deformed by the complementary functions. The method includes solving the energy optimization model for the scalar multipliers and calculating a resulting parameter of interest of the physical structure.
- Inventors:
- Issue Date:
- Research Org.:
- Spears, Robert, Idaho Falls, ID (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1576413
- Patent Number(s):
- 10,394,977
- Application Number:
- 14/298,522
- Assignee:
- Spears, Robert, Idaho Falls, ID (United States)
- DOE Contract Number:
- AC07-05ID14517
- Resource Type:
- Patent
- Resource Relation:
- Patent File Date: 2014 Jun 06
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Spears, Robert E. Method and apparatus for shape-based energy analysis of solids. United States: N. p., 2019.
Web.
Spears, Robert E. Method and apparatus for shape-based energy analysis of solids. United States.
Spears, Robert E. Tue .
"Method and apparatus for shape-based energy analysis of solids". United States. https://www.osti.gov/servlets/purl/1576413.
@article{osti_1576413,
title = {Method and apparatus for shape-based energy analysis of solids},
author = {Spears, Robert E.},
abstractNote = {A method of evaluating response of a physical structure to external stimulus includes defining a mesh of finite elements, each defined by edges, for a model of the physical structure. The method includes identifying a governing differential equation and associated complementary functions, which are each associated with a scalar multiplier. The method includes generating an energy optimization model that minimizes a difference between internal and external energies of the finite elements. The internal energy is based on strain energy in a volume defined by the edges of the finite element and resulting from deformations by the complementary functions. The external energy of each finite element is based on external work done by the external stimulus acting on the finite element as deformed by the complementary functions. The method includes solving the energy optimization model for the scalar multipliers and calculating a resulting parameter of interest of the physical structure.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {8}
}
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