# The Product Types Ontology: Class Definition for "Elastic energy"

This page is part of http://www.productontology.org/, a huge, precise dictionary of product types and brand names for marking up Web sites with schema.org or the GoodRelations e-commerce standard.

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### pto:Elastic_energy(rdf:type owl:Class)

URI http://www.productontology.org/id/Elastic_energy
rdfs:subClassOf gr:ProductOrService, http://schema.org/Product
rdfs:label Elastic energy (as a class or brand name of products of services)
Translation(s):  طاقة وضع مرنة@ar;  وزەی جیڕی@ckb;  Elastisk energi@da;  Verformungsenergie@de;  Energía de deformación@es;  Energia potentzial elastiko@eu;  انرژی کشسانی@fa;  Énergie potentielle élastique@fr;  प्रत्यास्थ ऊर्जा@hi;  Enèji potansyèl elastik@ht;

rdfs:comment

Elastic energy is the mechanical potential energy stored in the configuration of a material or physical system as it is subjected to elastic deformation by work performed upon it. Elastic energy occurs when objects are impermanently compressed, stretched or generally deformed in any manner. Elasticity theory primarily develops formalisms for the mechanics of solid bodies and materials. (Note however, the work done by a stretched rubber band is not an example of elastic energy. It is an example of entropic elasticity.) The elastic potential energy equation is used in calculations of positions of mechanical equilibrium. The energy is potential as it will be converted into other forms of energy, such as kinetic energy and sound energy, when the object is allowed to return to its original shape (reformation) by its elasticity. <math display="block"> U = \frac 1 2 k\, \Delta x^2 The essence of elasticity is reversibility. Forces applied to an elastic material transfer energy into the material which, upon yielding that energy to its surroundings, can recover its original shape. However, all materials have limits to the degree of distortion they can endure without breaking or irreversibly altering their internal structure. Hence, the characterizations of solid materials include specification, usually in terms of strains, of its elastic limits. Beyond the elastic limit, a material is no longer storing all of the energy from mechanical work performed on it in the form of elastic energy. Elastic energy of or within a substance is static energy of configuration. It corresponds to energy stored principally by changing the interatomic distances between nuclei. Thermal energy is the randomized distribution of kinetic energy within the material, resulting in statistical fluctuations of the material about the equilibrium configuration. There is some interaction, however. For example, for some solid objects, twisting, bending, and other distortions may generate thermal energy, causing the material's temperature to rise. Thermal energy in solids is often carried by internal elastic waves, called phonons. Elastic waves that are large on the scale of an isolated object usually produce macroscopic vibrations sufficiently lacking in randomization that their oscillations are merely the repetitive exchange between (elastic) potential energy within the object and the kinetic energy of motion of the object as a whole. Although elasticity is most commonly associated with the mechanics of solid bodies or materials, even the early literature on classical thermodynamics defines and uses "elasticity of a fluid" in ways compatible with the broad definition provided in the Introduction above. Solids include complex crystalline materials with sometimes complicated behavior. By contrast, the behavior of compressible fluids, and especially gases, demonstrates the essence of elastic energy with negligible complication. The simple thermodynamic formula: dU = -P\,dV \ , where dU is an infinitesimal change in recoverable internal energy U, P is the uniform pressure (a force per unit area) applied to the material sample of interest, and dV is the infinitesimal change in volume that corresponds to the change in internal energy. The minus sign appears because dV is negative under compression by a positive applied pressure which also increases the internal energy. Upon reversal, the work that is done by a system is the negative of the change in its internal energy corresponding to the positive dV of an increasing volume. In other words, the system loses stored internal energy when doing work on its surroundings. Pressure is stress and volumetric change corresponds to changing the relative spacing of points within the material. The stress-strain-internal energy relationship of the foregoing formula is repeated in formulations for elastic energy of solid materials with complicated crystalline structure. (Source: Wikipedia, the free encyclopedia, see http://en.wikipedia.org/wiki/Elastic_energy)

Note: The extraction of the abstract from the Wikipedia page may sometimes yield imperfect results. We are improving the algorithm regularly.

Note: This is a generic list. Some of the properties may not be applicable to this particular type of object.

Trademark Disclaimer:  Since this service returns class descriptions for potentiall any series of characters, it cannot indicate automatically whether a name is a registered trademark or otherwise protected. We assume no liability for the absence of trademark rights and other damages. See the section "License" below for details.

## Usage

</div>
</div>
</body>
</html>


### Turtle Syntax

@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .
@prefix pto: <http://www.productontology.org/id/> .
@prefix gr: <http://purl.org/goodrelations/v1#> .
@prefix foo: <http://example.com/> .

# The object
foo:myObject a <http://www.productontology.org/id/Elastic_energy> ;
a gr:SomeItems ;
gr:name "... a short name for the object ..."@en ;
gr:description "... a longer description ..."@en .

# The agent (person or company) who is offering it
gr:legalName "ACME Corp" ;
gr:offers foo:Offer .

# The offer to sell it
foo:Offer a gr:Offering ;
gr:includes foo:myObject;
foaf:page <http://URI_of_the_page_containing_the_offer.com>;
gr:validFrom "2011-01-24T00:00:00+01:00"^^xsd:dateTime ;
gr:validThrough "2011-12-24T00:00:00+01:00"^^xsd:dateTime ;
gr:hasPriceSpecification
[ a gr:UnitPriceSpecification ;
gr:hasCurrency "USD"^^xsd:string ;
gr:hasCurrencyValue "19.99"^^xsd:float ;
gr:validThrough "2011-12-24T00:00:00+01:00"^^xsd:dateTime ] .


Note: Replace gr:SomeItems (http://purl.org/goodrelations/v1#SomeItems) by gr:Individual if you are describing a unique object of that kind (e.g. antique furniture).

### RDFa

<!DOCTYPE html>
<html version="HTML+RDFa 1.1" xmlns="http://www.w3.org/1999/xhtml">
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"/>
<title>An offer to sell a / some Elastic_energy</title>
<body>
<div xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:gr="http://purl.org/goodrelations/v1#"
xmlns:pto="http://www.productontology.org/id/"
xmlns:foo="http://example.com/"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#">

<!-- The agent (person or company) who is offering it -->
<div property="gr:legalName">ACME Corp</div>
<div rel="gr:offers">
<!-- The offer to sell it -->
<div rel="gr:includes">
<!-- The object -->
<div rel="rdf:type" resource="http://purl.org/goodrelations/v1#SomeItems"></div>
<div property="gr:description" xml:lang="en">... a longer description ...</div>
<div property="gr:name" xml:lang="en">.. a short name for the object ...</div>
</div>
</div>
<div rel="foaf:page" resource="http://URI_of_the_page_containing_the_offer"></div>
<div rel="gr:hasPriceSpecification">
<div typeof="gr:UnitPriceSpecification">
<div property="gr:hasCurrency" content="USD" datatype="xsd:string">\$ </div>
<div property="gr:hasCurrencyValue" datatype="xsd:float">19.99</div>
<div property="gr:validThrough" content="2011-12-24T00:00:00+01:00"
datatype="xsd:dateTime"></div>
</div>
</div>
<div property="gr:validFrom" content="2011-01-24T00:00:00+01:00"
datatype="xsd:dateTime"></div>
<div property="gr:validThrough" content="2011-12-24T00:00:00+01:00"
datatype="xsd:dateTime"></div>
</div>
</div>
</div>
</div>
</body>
</html>


Note: Replace gr:SomeItems (http://purl.org/goodrelations/v1#SomeItems) by gr:Individual if you are describing a unique object of that kind (e.g. antique furniture).

### RDF/XML

<?xml version="1.0" encoding="UTF-8" ?>
<rdf:RDF xmlns:gr="http://purl.org/goodrelations/v1#"
xmlns:pto="http://www.productontology.org/id/"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:foo="http://example.com/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<!-- The object -->
<rdf:type rdf:resource="http://www.productontology.org/id/Elastic_energy"/>
<rdf:type rdf:resource="http://purl.org/goodrelations/v1#SomeItems"/>
<gr:name xml:lang="en">... a short name for the object ...</gr:name>
<gr:description xml:lang="en">... a longer description ...</gr:description>
</rdf:Description>
<!-- The agent (person or company) who is offering it -->
<gr:legalName>ACME Corp</gr:legalName>
<gr:offers rdf:resource="http://example.com/Offer" />
<!-- The offer to sell it -->
<gr:includes rdf:resource="http://example.com/myObject" />
<foaf:page rdf:resource="http://URI_of_the_page_containing_the_offer"/>
<gr:validFrom rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">
2011-01-24T00:00:00+01:00</gr:validFrom>
<gr:validThrough rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">
2011-12-24T00:00:00+01:00</gr:validThrough>
<gr:hasPriceSpecification>
<gr:UnitPriceSpecification>
<gr:hasCurrency rdf:datatype="http://www.w3.org/2001/XMLSchema#string">USD</gr:hasCurrency>
<gr:hasCurrencyValue rdf:datatype="http://www.w3.org/2001/XMLSchema#float">19.99</gr:hasCurrencyValue>
<gr:validThrough rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">
2011-12-24T00:00:00+01:00</gr:validThrough>
</gr:UnitPriceSpecification>
</gr:hasPriceSpecification>
</gr:Offering>

</rdf:RDF>


Note: Replace gr:SomeItems (http://purl.org/goodrelations/v1#SomeItems) by gr:Individual if you are describing a unique object of that kind (e.g. antique furniture).

### SPARQL Query

prefix foaf: <http://xmlns.com/foaf/0.1/>
prefix xsd: <http://www.w3.org/2001/XMLSchema#>
prefix pto: <http://www.productontology.org/id/>
prefix gr: <http://purl.org/goodrelations/v1#>
prefix foo: <http://example.com/>

# Find the cheapest offer for a Elastic_energy

SELECT * WHERE{
?company gr:offers ?offer .
?offer a gr:Offering .
OPTIONAL {?offer rdfs:label ?label } .
OPTIONAL {?offer gr:name ?label } .
OPTIONAL {?offer rdfs:comment ?label } .
OPTIONAL {?offer gr:description ?label } .
?offer gr:hasPriceSpecification ?p .
?p a gr:UnitPriceSpecification .
?p gr:hasCurrency ?currency .
?p gr:hasCurrencyValue ?price .
?offer gr:includes ?product .
?product a <http://www.productontology.org/id/Elastic_energy> .
}
ORDER BY (?price)
LIMIT 10


You can also use the class definitions from this site for better describing the type of your page or product for the Facebook Open Graph Protocol.

Simply define the namespace prefix pto: in the <html> element of your page

<html version="HTML+RDFa 1.1"
xmlns="http://www.w3.org/1999/xhtml"
xmlns:pto="http://www.productontology.org/id/"
>

and use the compact URI (CURIE) pto:Elastic_energy in combination with og:type as follows:

	<meta property="og:type" content="pto:Elastic_energy"/>


A complete example is here.

## Contact Information

Univ.-Prof. Dr. Martin Hepp

E-Business and Web Science Research Group
Chair of General Management and E-Business
Universität der Bundeswehr München
Werner-Heisenberg-Weg 39
D-85579 Neubiberg, Germany

Phone: +49 89 6004-4217
eMail: mhepp(at)computer.org (preferred mode of communication)
Web: http://www.heppnetz.de/

## Caching Policy

In order to minimize the load on the Wikipedia API, all requests are cached internally for 72 hours. This means that changes to the English Wikipedia will be available in this service within 72 hours or less if the same entry has been requested before. Classes not requested within the last six hours are always guaranteed to be in sync with the latest version in Wikipedia.

The RDF/XML dump file is updated every 12 hours only.

Trademark Disclaimer:  Since this service returns class descriptions for potentially any series of characters, it cannot indicate automatically whether a name is a registered trademark or otherwise protected. If you want us to block a certain name, please send your request including proof of your rights on the name to our contact address listed below.. Any of the trademarks, service marks, collective marks, design rights or similar rights that are mentioned, used, or cited in this service are the property of their respective owners. Their use here does not imply that you may use them for any purpose other than for the same or a similar informational use as contemplated by the original authors of the underlying Wikipedia articles under the CC-BY-SA and GFDL licensing schemes. Productontology.org is neither endorsed by nor affiliated with any of the holders of any such rights and as such cannot grant any rights to use any otherwise protected materials. Your use of any such or similar incorporeal property is at your own risk.

## Acknowledgements

Thanks to Stefano Bertolo, Julien Chaumond, Bob Ferris, Kingsley Idehen, Axel Polleres, Andreas Radinger, Alex Stolz, and Giovanni Tummarello for very valuable feedback, and to Katharina Siorpaes and Daniel Bachlechner, who contributed to the initial analysis of the stability of Wikipedia URIs back in 2007.

The work on The Product Types Ontology has been supported by the German Federal Ministry of Research (BMBF) by a grant under the KMU Innovativ program as part of the Intelligent Match project (FKZ 01IS10022B).

## References

Wikipedia: Elastic energy, available at http://en.wikipedia.org/wiki/Elastic_energy.

Hepp, Martin: GoodRelations: An Ontology for Describing Products and Services Offers on the Web, Proceedings of the 16th International Conference on Knowledge Engineering and Knowledge Management (EKAW2008), Acitrezza, Italy, September 29 - October 3, 2008, Springer LNCS, Vol 5268, pp. 332-347.

Hepp, Martin; Siorpaes, Katharina; Bachlechner, Daniel: Harvesting Wiki Consensus: Using Wikipedia Entries as Vocabulary for Knowledge Management, IEEE Internet Computing, Vol. 11, No. 5, pp. 54-65, Sept-Oct 2007.