For languages not specifying a memory model, you are writing code for the language and the memory model specified by the processor architecture. The processor may choose to re-order memory accesses for performance. So, if your program has data races (a data race is when it's possible for multiple cores / hyper-threads to access the same memory concurrently) then your program is not cross platform because of its dependence on the processor memory model. You may refer to the Intel or AMD software manuals to find out how the processors may re-order memory accesses.
Very importantly, locks (and concurrency semantics with locking) are typically implemented in a cross platform way... So if you are using standard locks in a multithreaded program with no data races then you don't have to worry about cross platform memory models.
Interestingly, Microsoft compilers for C++ have acquire / release semantics for volatile which is a C++ extension to deal with the lack of a memory model in C++ http://msdn.microsoft.com/en-us/library/12a04hfd(v=vs.80).aspx. However, given that Windows runs on x86 / x64 only, that's not saying much (Intel and AMD memory models make it easy and efficient to implement acquire / release semantics in a language).