Strain rate concentration and dynamic stress concentration for double‐edge‐notched specimens subjected to high‐speed tensile loads. Issue 1 (17th July 2014)

• Record Type: Journal Article
• Authors: Noda, N.‐A.; Ohtsuka, H.; Zheng, H.; Sano, Y.; Ando, M.; Shinozaki, T.; Guan, W.
• Is Part Of: Fatigue & fracture of engineering materials & structures. Volume 38:Issue 1(2015:Jan.)
• Page Start: 125
• Page End: 138
• Publication Date: 2014-07-17
• Subjects: Materials -- Fatigue -- Periodicals; Fracture mechanics -- Periodicals; 620.1123
• DOI: 10.1111/ffe.12228
• Languages: English
• ISSNs: 8756-758X

Abstract

<abstract abstract-type="main"> <title>ABSTRACT</title> <p>Engineering plastics provide superior performance to ordinary plastics for wide range of the use. For polymer materials, dynamic stress and strain rate may be major factors to be considered when the strength is evaluated. Recently, high‐speed tensile test is being recognized as a standard testing method to confirm the strength under dynamic loads. In this study, therefore, high‐speed tensile test is analysed by the finite element method; then, the maximum dynamic stress and strain rate are discussed with varying the tensile speed and maximum forced displacement. The maximum strain rate increases with increasing the tensile speed <italic>u</italic>/<italic>t</italic>, but the strain rate concentration factor <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgh2qw5sm2g" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" overflow="scroll" altimg="urn:x-wiley:8756758X:media:ffe12228:ffe12228-math-0001" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi mathvariant="italic">K</mml:mi><mml:mrow><mml:mi mathvariant="italic">t</mml:mi><mml:mover accent="true"><mml:mi mathvariant="italic">ε</mml:mi><mml:mo stretchy="true">˙</mml:mo></mml:mover></mml:mrow></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">t</mml:mi></mml:mfenced><mml:mo>=</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">ε</mml:mi><mml:mo stretchy="true">˙</mml:mo></mml:mover><mml:mi mathvariant="italic">yA</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">t</mml:mi></mml:mfenced><mml:mo stretchy="true">/</mml:mo><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">ε</mml:mi><mml:mo stretchy="true">˙</mml:mo></mml:mover><mml:mi mathvariant="italic">ynom</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">t</mml:mi></mml:mfenced></mml:mrow></mml:math></alternatives></inline-formula> is found to be constant independent of tensile speed, which is defined as the maximum strain rate <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgh2qw5sm1x" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" overflow="scroll" altimg="urn:x-wiley:8756758X:media:ffe12228:ffe12228-math-0002" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">ε</mml:mi><mml:mo stretchy="true">˙</mml:mo></mml:mover><mml:mrow><mml:mi mathvariant="italic">yA</mml:mi><mml:mo>, </mml:mo><mml:mo>max</mml:mo></mml:mrow></mml:msub></mml:math></alternatives></inline-formula> appearing at the notch root over the average nominal strain rate at the minimum section <inline-formula><alternatives><inline-graphic mimetype="image" xlink:href="ark:/27927/pgh2qw5sm0c" xlink:type="simple" xmlns:xlink="http://www.w3.org/1999/xlink" /><mml:math display="inline" overflow="scroll" altimg="urn:x-wiley:8756758X:media:ffe12228:ffe12228-math-0003" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi mathvariant="italic">ε</mml:mi><mml:mo stretchy="true">˙</mml:mo></mml:mover><mml:mi mathvariant="italic">ynom</mml:mi></mml:msub><mml:mfenced open="(" close=")"><mml:mi mathvariant="italic">t</mml:mi></mml:mfenced></mml:mrow></mml:math></alternatives></inline-formula>. It is found that the strain rate at the notch root depends on the dynamic stress rate at the notch root and independent of the notch root radius ρ. It is found that the difference between the static and dynamic maximum stress concentration (<italic>σ</italic><sub><italic>yA</italic>, max</sub> − <italic>σ</italic><sub><italic>yA</italic>, <italic>st</italic></sub>) at the notch root is proportional to the tensile speed when <italic>u</italic>/<italic>t</italic> = 5000 mm/s. Strain rate concentration factors are also discussed with varying the notch depth and specimen length. Based on the elastic strain rate concentration factor, the master curve is obtained useful for understanding the impact fracture of polycarbonate for the wide range of temperature and impact speed.</p> </abstract>