Advanced SDOF Model for Steel Members Subject to Explosion - download pdf or read online

ISBN-10: 156726297X

ISBN-13: 9781567262971

ISBN-10: 1613447655

ISBN-13: 9781613447659

This Technical be aware describes an extension to a worldly single-degree-of-freedom (SDOF) version for metal contributors topic to explosion loading. The SDOF version during this record extends the SDOF version formerly built in FABIG Technical observe 7 to incorporate pressure price results and to supply extra rational ductility measures than these in keeping with the rate-insensitive version. The Technical be aware proceeds by means of offering an outline of the matter features in addition to the formula process utilized in constructing the hot SDOF version, the place attention is given to fabric expense sensitivity based on the Cowper-Symonds version.
Content:
entrance subject
• desk of Contents
• 1. creation
• 2. challenge features and Assumptions
three. formula strategy
four. Cross-Sectional reaction
five. Dynamic power
• 6. Ductility Measures
• 7. version resolution technique
eight. Examples and Verification
• nine. end
• References
Appendices

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Extra info for Advanced SDOF Model for Steel Members Subject to Explosion Loading: Material Rate Sensitivity

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0 REMARKS R. Schoen and L. Simon have given a proof of the regularity theorem for rectifiable currents minimizing parametric elliptic functions in which the constants involved in the a priori estimates can be explicitly computed (see [SS]). In this chapter we show how to use reflections to adapt Schoen and Simon's arguments so thatr for an area minimizing current spanning a polygon, we can apply their results at all points of the boundary except the vertices. 1. 4]) . (2) For y ^ R n -1, p > 0 set gn(y,p) = g n n { x : |g(x)-y| < p}.

Lim. t. = R. 3 3 replaced by > . . x -+ Rv and p = 2 be a sequence such, that T, we have 28 HAROLD R. PARKS For j = 1,2,... choose x. ) n fi n ii^Cq) ~ (xK Passing to a subsequence if necessary, but without changing notation, we may suppose j -> oo. at x x. converges as j -» °°. By the above we have x. -*• x But then we conclude that some principal curvature of must be at least 1/R. as Q n u n (q) But then (**) gives us l-jT*1 >_ R"1 > 2Y~ 1 T~" 1 = 2 I 1 / 2 • 780 • (l+n3/2-Y7)T"1, a contradiction.

In this chapter we show how to use reflections to adapt Schoen and Simon's arguments so thatr for an area minimizing current spanning a polygon, we can apply their results at all points of the boundary except the vertices. 1. 4]) . (2) For y ^ R n -1, p > 0 set gn(y,p) = g n n { x : |g(x)-y| < p}. (3) Set n-1 i (4) = II - i 2 in-1" Set h = l#S n " 2 (5) For T G 0 set T* = T - r # T, E(t,y,p) = 2"1p1"n/ iT-^^dllTli. n c (y,p) 32 EXPLICIT DETERMINATION OF AREA MINIMIZING HYPERSURFACES, II (6) Throughout Chapter 5 we will assume T e A ,(g ) , p > 0 33 satisfy the following hypotheses: (i) T is absolutely area minimizing with respect to (g (O,p),0), (ii) sptOT-J;) c R n ~ g n ( 0 , p ) , (iii) p # (T L g n ( 0 / P ) ) = I 11 " 1 L g n ~ L (0„p) n {z : z • § n - 1 > 0 } , (iv) B T J L g n (0,p) = (111 + II^Tl) L g n ( 0 / p ) .

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Advanced SDOF Model for Steel Members Subject to Explosion Loading: Material Rate Sensitivity


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