Properties for Design of Composite Structures. Neil McCartney
Читать онлайн.| Название | Properties for Design of Composite Structures |
|---|---|
| Автор произведения | Neil McCartney |
| Жанр | Техническая литература |
| Серия | |
| Издательство | Техническая литература |
| Год выпуска | 0 |
| isbn | 9781118789780 |
Subscript r z Superscript m Baseline left-parenthesis infinity comma z right-parenthesis equals 0 comma 3rd Row sigma Subscript r r Superscript m Baseline left-parenthesis a comma z right-parenthesis equals sigma Subscript r r Superscript f Baseline left-parenthesis a comma z right-parenthesis comma 4th Row sigma Subscript r z Superscript m Baseline left-parenthesis a comma z right-parenthesis equals sigma Subscript r z Superscript f Baseline left-parenthesis a comma z right-parenthesis comma 5th Row u Subscript r Superscript m Baseline left-parenthesis a comma z right-parenthesis equals u Subscript r Superscript f Baseline left-parenthesis a comma z right-parenthesis comma 6th Row u Subscript z Superscript m Baseline left-parenthesis upper R comma z right-parenthesis equals u Subscript z Superscript f Baseline left-parenthesis upper R comma z right-parenthesis period EndLayout right-brace"/>(4.28)
On differentiating the displacement field, it follows, on using (2.139) on setting uθ≡0, that.
It follows directly from (4.17), (4.30) and (4.32) that for fibre and matrix
On subtracting (4.14) and (4.15), it follows that for fibre and matrix
Relations (4.29) and (4.31) then assert that
On substituting (4.33) and (4.34) into the equilibrium equations (4.20)–(4.22) it follows that
On integrating (4.38)1 subject to the condition (4.28)1,
and from (4.36) it follows that
On integrating (4.37)1 using (4.39) together with the continuity condition (4.28)3
and from (4.36) it follows that