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<titleInfo><title>Influence of the R-Ratio and the Temperature on the Coefficients of a Novel Exponential Approach for the Formulaic Description of Fatigue Crack Growth Rate Curves</title></titleInfo>


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  <namePart type="given">Gunter</namePart>
  <namePart type="family">Kullmer</namePart>
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  <namePart type="given">Sven</namePart>
  <namePart type="family">Krome</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">57245</identifier></name>
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  <namePart type="given">Deborah</namePart>
  <namePart type="family">Weiß</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">45673</identifier></name>
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  <namePart type="given">Britta</namePart>
  <namePart type="family">Schramm</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">4668</identifier></name>
<name type="personal">
  <namePart type="given">Richard</namePart>
  <namePart type="family">Ostwald</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">106876</identifier><description xsi:type="identifierDefinition" type="orcid">0000-0003-2147-8444</description></name>







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  <namePart>TRR 285 - Project Area B</namePart>
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  <namePart>TRR 285 - Subproject B04</namePart>
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  <namePart>TRR 285:  Methodenentwicklung zur mechanischen Fügbarkeit in wandlungsfähigen Prozessketten</namePart>
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<abstract lang="eng">&lt;jats:p&gt;Investigating crack growth in sheet metal originating from clinched joints is a major part of predicting the service life of mechanically joined structures. Clinching allows different materials to be joined together. A key task in this context is to perform crack growth simulations in the vicinity of clinched joints considering different load and environmental conditions. This requires formulaic descriptions of the fatigue crack growth rate curves for the materials used. For this purpose, fatigue crack growth rate curves for different R-ratios and temperatures are determined experimentally. Generally, these fatigue crack growth rate curves can be described very well using a novel two-part exponential approach for the formulaic description of fatigue crack growth rate curves developed at Applied Mechanics of Paderborn University (FAM). In this case, three parameters are sufficient to describe the fatigue crack growth rate curves. For the material HCT590X, which is frequently used in clinched joints, it is shown as an example how the parameters vary with the R-ratio and the temperature. In addition, at high crack growth rates, a significant rise in the fatigue crack growth rate curve sometimes occurs at both low and high temperatures. To account for this feature, the two-part exponential approach can be expanded to include a third part.&lt;/jats:p&gt;</abstract>

<originInfo><publisher>MDPI AG</publisher><dateIssued encoding="w3cdtf">2026</dateIssued>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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<relatedItem type="host"><titleInfo><title>Metals</title></titleInfo>
  <identifier type="issn">2075-4701</identifier><identifier type="doi">10.3390/met16080835</identifier>
<part><detail type="volume"><number>16</number></detail><detail type="issue"><number>8</number></detail>
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<ama>Kullmer G, Krome S, Weiß D, Schramm B, Ostwald R. Influence of the R-Ratio and the Temperature on the Coefficients of a Novel Exponential Approach for the Formulaic Description of Fatigue Crack Growth Rate Curves. &lt;i&gt;Metals&lt;/i&gt;. 2026;16(8). doi:&lt;a href=&quot;https://doi.org/10.3390/met16080835&quot;&gt;10.3390/met16080835&lt;/a&gt;</ama>
<bibtex>@article{Kullmer_Krome_Weiß_Schramm_Ostwald_2026, title={Influence of the R-Ratio and the Temperature on the Coefficients of a Novel Exponential Approach for the Formulaic Description of Fatigue Crack Growth Rate Curves}, volume={16}, DOI={&lt;a href=&quot;https://doi.org/10.3390/met16080835&quot;&gt;10.3390/met16080835&lt;/a&gt;}, number={8835}, journal={Metals}, publisher={MDPI AG}, author={Kullmer, Gunter and Krome, Sven and Weiß, Deborah and Schramm, Britta and Ostwald, Richard}, year={2026} }</bibtex>
<mla>Kullmer, Gunter, et al. “Influence of the R-Ratio and the Temperature on the Coefficients of a Novel Exponential Approach for the Formulaic Description of Fatigue Crack Growth Rate Curves.” &lt;i&gt;Metals&lt;/i&gt;, vol. 16, no. 8, 835, MDPI AG, 2026, doi:&lt;a href=&quot;https://doi.org/10.3390/met16080835&quot;&gt;10.3390/met16080835&lt;/a&gt;.</mla>
<short>G. Kullmer, S. Krome, D. Weiß, B. Schramm, R. Ostwald, Metals 16 (2026).</short>
<chicago>Kullmer, Gunter, Sven Krome, Deborah Weiß, Britta Schramm, and Richard Ostwald. “Influence of the R-Ratio and the Temperature on the Coefficients of a Novel Exponential Approach for the Formulaic Description of Fatigue Crack Growth Rate Curves.” &lt;i&gt;Metals&lt;/i&gt; 16, no. 8 (2026). &lt;a href=&quot;https://doi.org/10.3390/met16080835&quot;&gt;https://doi.org/10.3390/met16080835&lt;/a&gt;.</chicago>
<apa>Kullmer, G., Krome, S., Weiß, D., Schramm, B., &amp;#38; Ostwald, R. (2026). Influence of the R-Ratio and the Temperature on the Coefficients of a Novel Exponential Approach for the Formulaic Description of Fatigue Crack Growth Rate Curves. &lt;i&gt;Metals&lt;/i&gt;, &lt;i&gt;16&lt;/i&gt;(8), Article 835. &lt;a href=&quot;https://doi.org/10.3390/met16080835&quot;&gt;https://doi.org/10.3390/met16080835&lt;/a&gt;</apa>
<ieee>G. Kullmer, S. Krome, D. Weiß, B. Schramm, and R. Ostwald, “Influence of the R-Ratio and the Temperature on the Coefficients of a Novel Exponential Approach for the Formulaic Description of Fatigue Crack Growth Rate Curves,” &lt;i&gt;Metals&lt;/i&gt;, vol. 16, no. 8, Art. no. 835, 2026, doi: &lt;a href=&quot;https://doi.org/10.3390/met16080835&quot;&gt;10.3390/met16080835&lt;/a&gt;.</ieee>
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