[getrlimit(2)][1] has the following definition
  [1]: http://www.kernel.org/doc/man-pages/online/pages/man2/setrlimit.2.html
in the man pages:

The maximum size of the process's virtual memory (address space) in bytes. This limit affects calls to brk(2), mmap(2) and mremap(2), which fail with the error ENOMEM upon exceeding this limit. Also ***automatic stack expansion*** will fail (and generate a SIGSEGV that kills the process if no alternate stack has been made available via sigaltstack(2)).  Since the value is a long, on machines with a 32-bit long either this limit is at most 2 GiB, or this resource is unlimited.

What is meant by "automatic stack expansion" here? Does the stack in a Linux/UNIX environment grow as needed? If yes, what's the exact mechanism?