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Title: Method and apparatus for shape-based energy analysis of solids

Abstract

A computer-readable medium stores instructions including storing a model of a physical structure and defining a mesh for the model. The mesh includes finite elements, each defined by a respective set of edges. The instructions include, for each finite element, identifying a governing differential equation and a set of complementary functions that exactly satisfy the governing differential equation. The instructions include determining an applied physical stimulus for the physical structure. The instructions include generating an energy optimization model that minimizes a difference between internal energy and external energy of the finite elements in response to the applied physical stimulus. The model includes a matrix of respective scalar multipliers for the complementary functions for each finite element. The instructions include transforming the matrix and calculating a physical parameter of interest. The instructions include, in response to the physical parameter not satisfying a design parameter, updating the model of the physical structure.

Inventors:
Issue Date:
Research Org.:
Idaho National Laboratory (INL), Idaho Falls, ID (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1860003
Patent Number(s):
11157669
Application Number:
16/543,572
Assignee:
Battelle Energy Alliance, LLC (Idaho Falls, ID)
Patent Classifications (CPCs):
G - PHYSICS G01 - MEASURING G01N - INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
G - PHYSICS G06 - COMPUTING G06F - ELECTRIC DIGITAL DATA PROCESSING
DOE Contract Number:  
AC07-05ID14517
Resource Type:
Patent
Resource Relation:
Patent File Date: 08/18/2019
Country of Publication:
United States
Language:
English

Citation Formats

Spears, Robert E. Method and apparatus for shape-based energy analysis of solids. United States: N. p., 2021. 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/1860003.
@article{osti_1860003,
title = {Method and apparatus for shape-based energy analysis of solids},
author = {Spears, Robert E.},
abstractNote = {A computer-readable medium stores instructions including storing a model of a physical structure and defining a mesh for the model. The mesh includes finite elements, each defined by a respective set of edges. The instructions include, for each finite element, identifying a governing differential equation and a set of complementary functions that exactly satisfy the governing differential equation. The instructions include determining an applied physical stimulus for the physical structure. The instructions include generating an energy optimization model that minimizes a difference between internal energy and external energy of the finite elements in response to the applied physical stimulus. The model includes a matrix of respective scalar multipliers for the complementary functions for each finite element. The instructions include transforming the matrix and calculating a physical parameter of interest. The instructions include, in response to the physical parameter not satisfying a design parameter, updating the model of the physical structure.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2021},
month = {10}
}

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