The well-known Hill's averaging theorems for stresses and strains as well as the so-called Hill-Mandel principle of macrohomogeneity are essential ingredients for the coupling and the consistency between the micro and macro scales in multiscale finite element procedures (FE²).
He could sing, and talk, and drink, and keep things stirring, and the gentlemen liked him; and he was, 'twas said, a wonderful fine player at whist, and piquet, and ombre, and all sorts of card-playing. So you see he could afford to play fair. The first time he came down, he fought three duels about a tipsy quarrel over a pool of Pope Joan.
Marty McFly: Wait a minute. If I drive straight towards the screen, I'll crash into those Indians.
Dr. Emmett Doc Brown: Marty, you're not thinking fourth-dimensionally. You'll instantly be transported to 1885 and those Indians won't even be there.
But again, Sophie just wouldn't get it and next month I'd get a story about a hunky young shop assistant being dragged into the changing rooms by some old cockaholic housewife.
