You will not run into any issues while sending more than 10K. Any transfer exceeding 10K has to be reported by the associated bank or money transfer agent, that's it, just for reporting purpose. You will not be taxed or be summoned into anyting. The bank or agent might ask you to provide the proof of source of income for reporting purpose.

It is equivalent to declaring currently at US custom if one has more than 10K while entering or exiting US. That one is also just for reporting purpose, no tax issues or nothing.