Multifractal fracture
The observations presented herein, qualitative arguments, and exploratory calculations have indicated that material fracture can be modeled with a multifractal concept. As such, the associated multifractal diagram provides a new and possibly useful relationship between complex damage geometries and...
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| Veröffentlicht in: | Scr. Metall.; (United States) 1988-11, Vol.22 (11), p.1749-1754 |
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| container_title | Scr. Metall.; (United States) |
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| creator | Williford, R.E. |
| description | The observations presented herein, qualitative arguments, and exploratory calculations have indicated that material fracture can be modeled with a multifractal concept. As such, the associated multifractal diagram provides a new and possibly useful relationship between complex damage geometries and their fracture energies for brittle, ductile, and mixed processes. In particular, recent observations of ductile fracture behavior were found to be consistent with the multifractal diagram. This diagram implicitly includes interactive damage mechanisms prevalent in composites and other heterogeneous materials (e.g. 4340 and 300 Grade steels and Ti base alloys). Preliminary calculations with a proposed model were demonstrated to be verifiable by comparison to measured fracture surface dimensions. When verified, this model may also provide a new materials design tool. A previously proposed method to determine fracture energies from fracture surface roughnesses was confirmed, and a method for computing an associated material constant was suggested. 19 ref.--AA |
| doi_str_mv | 10.1016/S0036-9748(88)80277-1 |
| format | Article |
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Metall.; (United States)</title><description>The observations presented herein, qualitative arguments, and exploratory calculations have indicated that material fracture can be modeled with a multifractal concept. As such, the associated multifractal diagram provides a new and possibly useful relationship between complex damage geometries and their fracture energies for brittle, ductile, and mixed processes. In particular, recent observations of ductile fracture behavior were found to be consistent with the multifractal diagram. This diagram implicitly includes interactive damage mechanisms prevalent in composites and other heterogeneous materials (e.g. 4340 and 300 Grade steels and Ti base alloys). Preliminary calculations with a proposed model were demonstrated to be verifiable by comparison to measured fracture surface dimensions. When verified, this model may also provide a new materials design tool. 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Rheology. Fracture mechanics. Tribology</subject><subject>Mechanical properties of solids</subject><subject>Metals. 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Rheology. Fracture mechanics. Tribology</topic><topic>Mechanical properties of solids</topic><topic>Metals. Metallurgy</topic><topic>OXIDES</topic><topic>OXYGEN COMPOUNDS</topic><topic>Physics</topic><topic>SELENIDES</topic><topic>SELENIUM COMPOUNDS</topic><topic>TWO-DIMENSIONAL CALCULATIONS</topic><topic>ZINC COMPOUNDS</topic><topic>ZINC SELENIDES</topic><toplevel>online_resources</toplevel><creatorcontrib>Williford, R.E.</creatorcontrib><creatorcontrib>Pacific Northwest Lab., Richland, WA (US)</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>OSTI.GOV</collection><jtitle>Scr. Metall.; (United States)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Williford, R.E.</au><aucorp>Pacific Northwest Lab., Richland, WA (US)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Multifractal fracture</atitle><jtitle>Scr. Metall.; (United States)</jtitle><date>1988-11-01</date><risdate>1988</risdate><volume>22</volume><issue>11</issue><spage>1749</spage><epage>1754</epage><pages>1749-1754</pages><issn>0036-9748</issn><coden>SCRMBU</coden><abstract>The observations presented herein, qualitative arguments, and exploratory calculations have indicated that material fracture can be modeled with a multifractal concept. As such, the associated multifractal diagram provides a new and possibly useful relationship between complex damage geometries and their fracture energies for brittle, ductile, and mixed processes. In particular, recent observations of ductile fracture behavior were found to be consistent with the multifractal diagram. This diagram implicitly includes interactive damage mechanisms prevalent in composites and other heterogeneous materials (e.g. 4340 and 300 Grade steels and Ti base alloys). Preliminary calculations with a proposed model were demonstrated to be verifiable by comparison to measured fracture surface dimensions. When verified, this model may also provide a new materials design tool. A previously proposed method to determine fracture energies from fracture surface roughnesses was confirmed, and a method for computing an associated material constant was suggested. 19 ref.--AA</abstract><cop>Elmsford, NY</cop><pub>Elsevier B.V</pub><doi>10.1016/S0036-9748(88)80277-1</doi><tpages>6</tpages></addata></record> |
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| ispartof | Scr. Metall.; (United States), 1988-11, Vol.22 (11), p.1749-1754 |
| issn | 0036-9748 |
| language | eng |
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| subjects | 360203 - Ceramics, Cermets, & Refractories- Mechanical Properties ALUMINIUM COMPOUNDS ALUMINIUM OXIDES Applied sciences BRITTLENESS CERAMICS CHALCOGENIDES Condensed matter: structure, mechanical and thermal properties Exact sciences and technology Fatigue, brittleness, fracture, and cracks FRACTURE PROPERTIES Fractures GEOMETRY MATERIALS SCIENCE MATHEMATICS Mechanical and acoustical properties of condensed matter MECHANICAL PROPERTIES Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology Mechanical properties of solids Metals. Metallurgy OXIDES OXYGEN COMPOUNDS Physics SELENIDES SELENIUM COMPOUNDS TWO-DIMENSIONAL CALCULATIONS ZINC COMPOUNDS ZINC SELENIDES |
| title | Multifractal fracture |
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