2 utilized this integral to prove its invariance using the divergence theorem. (For this famous work, Jim was awarded several medals and prizes). In 1972, John Landes and Jim Begley, not familiar with paper [1], re-introduced the invariant integral into fracture mechanics. At about that time this author discovered that in the case of elastic materials his integral coincided with that of Jock Eshelby introduced earlier into the theory of point defects in crystal lattices. Since 1968, Jock started on actively working in fracture mechanics, too. I can’t help but recall some events of that time related to paper [1]. Since 1959 my basic scientific interests have been connected with crack growth. However, up to 1964 when I became the youngest Doctor of Science in USSR, my most significant publications were done on the problems of mechanics with unknown boundaries, including the elastic-plastic, local buckling, and contact problems. It’s on these problems I earned all my degrees, although fracture has always been my main subject. At that time in USSR, this area was monopolized by unscrupulous, powerful figures close to KGB who vetoed approaches different from their own. Still and all, in 1965 I decided to leave underground and submitted a Russian manuscript entitled “On crack propagation in continuous media” into the journal “Prikladnaia Matematika I Mekhanika” ( PMM or Journal of Applied Mathematics and Mechanics, JAMM). However, the publication of the paper was blocked up by the authorities and it was kept in the portfolio of the journal for two years although my earlier, less significant papers used to come out within half a year. And yet, my luck was in because the Editor-in-Chief Leo Galin, even without knowledge of the paper subject, took over the responsibility and published my paper, much mutilated though by censors for two years. At last, it came out by May 1, 1967. Later, I and brave Professor Galin paid a heavy price for this sin. By the way, after the Soviets launched the first sputnik in 1957, the urgent airmail delivered fresh issues of PMM to the best US university libraries within several days. Since that time, I tried to show that fracture mechanics is a legitimate branch of theoretical physics and my invariant integral can be used as an efficient mathematical tool for solving singular physical problems far beyond fracture mechanics (see my book [2] written in1969 but published in Russian only in 1974 and in English later, in 1978, by McGraw Hill ). However, these ideas were poorly understood. Hopefully, what follows below can make a difference. 2. General case Let us consider stationary processes in elastic dielectrics, with taking account of cosmicgravitational and electromagnetic forces. In this case, the main invariant integral can be written as follows [3 - 5] + , , , =1,2,3 (1)
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