The method you need is char::to_digit. It converts char to a number it represents in the given radix.
You can also use Iterator::sum to calculate sum of a sequence conveniently:
fn main() {
const RADIX: u32 = 10;
let x = "134";
println!("{}", x.chars().map(|c| c.to_digit(RADIX).unwrap()).sum::<u32>());
}