Deterministic Analysis for Creep Behavior of Damaged Composite Tubular Structure.

If HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msup><mi> </mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup><mo>/=</mo><mn>1</mn><mspace width="0.166667em" /><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="0.166667em" /><msup><mi> </mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup><mo>/=</mo><mn>2</mn></mrow></math> ht the solution of (15) takes the form: 15 HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msubsup><mi>U</mi><mrow><mi>r</mi></mrow><mfenced close=")" open="("><mi>k</mi></mfenced></msubsup><mo>=</mo><msup><mi>D</mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup><msup><mi>r</mi><msup><mi> </mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup></msup><mo>+</mo><msup><mi>E</mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup><msup><mi>r</mi><mrow><mo>-</mo><msup><mi> </mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup></mrow></msup><mo>+</mo><mfenced close=")" open="("><mrow><msubsup><mi> </mi><mrow><mn>2</mn></mrow><mfenced close=")" open="("><mi>k</mi></mfenced></msubsup><msub><mi> </mi><mn>0</mn></msub></mrow></mfenced><mi>r</mi><mo>+</mo><msubsup><mi> </mi><mrow><mn>4</mn></mrow><mfenced close=")" open="("><mi>k</mi></mfenced></msubsup><msub><mi> </mi><mn>0</mn></msub><msup><mi>r</mi><mn>2</mn></msup><mo>.</mo></mrow></math> ht Graph HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>D</mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup></math> ht , HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>E</mi><mfenced close=")" open="("><mi>k</mi></mfenced></msup></math> ht , HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi> </mi><mn>0</mn></msub></math> ht and HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi> </mi><mn>0</mn></msub></math> ht are the constants of integration. [Extracted from the article]