I found the following online. I'm afraid I can't offer a named source. But I leave it here for any one of my readers who may wonder why James Bond demands that his martinis be shaken, not stirred.
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This specific preference wasn't a quirk of the cinematic Bond; it originated in Ian Fleming's 1953 debut novel, Casino Royale. When Bond orders his signature drink—later named the "Vesper"—he demands a highly specific recipe: "Three measures of Gordon's, one of vodka, half a measure of Kina Lillet. Shake it very well until it's ice-cold, then add a large thin slice of lemon peel."
A traditional stirred Vesper is an incredibly potent, boozy concoction. By demanding it shaken, the ice violently shatters and melts into the drink, causing significant dilution. This waters down the alcohol content, allowing the spy to maintain his wits and keep a sharp edge while appearing to match his adversaries drink for drink at the casino table.
The era of the novels offers another clue. In the mid-20th century, vodka was not the ultra-refined, multi-filtered spirit common today. Much of the vodka available in post-war Britain was made from potatoes and retained harsh, oily impurities. Vigorously shaking the drink helped disperse these residual oils, making a rough spirit considerably more palatable.

I doubt that ice would shatter from being shaken, and, if it did, it wouldn't shatter violently; the shaking might be violent, not the shattering. But I claim no expertise as to this.
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