Fix race condition on shutdown.
diff --git a/src/core/lib/security/transport/security_handshaker.c b/src/core/lib/security/transport/security_handshaker.c
index 628c747..41a775d 100644
--- a/src/core/lib/security/transport/security_handshaker.c
+++ b/src/core/lib/security/transport/security_handshaker.c
@@ -131,6 +131,9 @@
     // Not shutting down, so the write failed.  Clean up before
     // invoking the callback.
     cleanup_args_for_failure_locked(h);
+    // Set shutdown to true so that subsequent calls to
+    // security_handshaker_shutdown() do nothing.
+    h->shutdown = true;
   }
   // Invoke callback.
   grpc_exec_ctx_sched(exec_ctx, h->on_handshake_done, error, NULL);