HIGHER ORDER ASYMPTOTIC FIELDS AT THE TIP OF A SHARP V-NOTCH IN A POWER-HARDENING MATERIAL

来源 :Acta Mechanica Solida Sinica | 被引量 : 0次 | 上传用户:lingdujimo
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The higher order asymptotic fields at the tip of a sharp V-notch in a power-hardening materialfor plane strain problem of Mode Ⅰ are derived.The order hierarchy in powers of r for various hardeningexponents n and notch angles β is obtained.The angular distributions of stress for several cases are plotted.The self-similarity behavior between the higher order terms is noticed.It is found that the terms with higherorder can be negleeted for the V-notch angle β>45°. The higher order asymptotic fields at the tip of a sharp V-notch in a power-hardening material for plane strain problem of Mode Ⅰ are derived. The order hierarchy in powers of r for various hardeningexponents n and the notch angles β is obtained. The angular distributions of stress for several cases are plotted. The self-similarity behavior between the higher order terms is noticed. It is found that the terms with higherorder can be negleeted for the V-notch angle β> 45 °.
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